Sunil KUMAR Yadav

• B.Sc. M.Sc.(Mathematics), Ph.D.(Differential Geometry of Manifolds and their Applications)
• Professor at Department of Applied Science and Humanaties Faculty of Mathematics, United College of Engineering & Research, UPSIDC Industrial Area, NainiAllahabad, U.P-211010, India

We investigate an η-ρ-Einstein soliton on semiconformally flat Kählerian Norden spacetime admitting Kählerian Norden torse-forming vector field. Also, we examine various physical aspects of such soliton on special fluid spacetime, such as dust fluid, dark fluid, radiation era, vis-cous fluid, and heat flux. In addition, we light up the harmonic asp...

Echinococcosis Intraventricular extension a b s t r a c t Hydatid cyst is the condition caused by larvae of the parasite Echinococcus granulosus, usually involving the liver, lung, and spleen. Involvement of the cerebrum with a hydatid cyst is a rare entity, comprising 2%-3% of all cases of hydatidosis. Intraventricular extension of cere-bral hydat...

Background: Studies conducted in subjects with type 2 diabetes mellitus have shown increased prevalence of thyroid dysfunction; however, there is paucity of data in our local population. In this regard, the present study was designed; Aims and Objectives:to find out the prevalence and pattern of thyroid dysfunction and its impact on glycemic profil...

The main goal of this manuscript is to investigate the properties of N(k)-contact metric manifolds admitting a Z *-tensor. We prove the necessary conditions for which N(k)-contact metric manifolds endowed with a Z *-tensor are Einstein manifolds. In this sequel, we accomplish that an N(k)-contact metric manifold endowed with a Z *-tensor satisfying...

In this paper, our aim is to characterize W8-curvature tensor on $(\epsilon)$-Lorentzian para-Sasakian manifold satisfying the conditions $\xi$-W8-flat, $\varphi$-W8-semisymmetric, W8.Q= 0, W8.R= 0 and W8.W8 = 0. We obtain some interesting results. Finally, we construct an example of 3-dimensional $(\epsilon)$-Lorentzian para-Sasakian manifold.

The novelty of the paper is to investigate the nature of conformal Ricci-Yamabe soliton on almost pseudo symmetric, almost pseudo Bochner symmetric, almost pseudo Ricci symmetric and almost pseudo Bochner Ricci symmetric Kähler manifolds. Also, we explore the harmonic aspects of conformal η-Ricci-Yamabe soliton on Kähler spcetime manifolds with a h...

We classify almost Yamabe on nearly hyperbolic Sasakian manifolds whose potential vector field is torse-forming admitting semi-symmetric metric connection and quarter symmetric non-metric connection. Certain results of such solitons on CR-submanifolds of nearly hyperbolic Sasakian manifolds with respect to such connection are obtained. Finally, a n...

The aim of the present paper is to study the properties of Kenmotsu manifolds equipped with a non-symmetric non-metric connection. We also establish some curvature properties of Kenmotsu manifolds. It is proved that a Kenmotsu manifold endowed with a non-symmetric non-metric is irregular.

Background In order for Parkinson's disease (PD) treatment and examination to be logical, a key requirement is that estimates of disease stage and severity are quantitative, reliable, and repeatable. The PD research in the past 50 years has been overwhelmed by the subjective emotional evaluation of human’s understanding of disease characteristics d...

The object of the present paper is to consider f-Kenmotsu 3-manifolds fulfilling certain curvature conditions on Q-curvature tensor with the Schouten-van Kampen connection. Certain consequences of Q-curvature tensor on such manifolds bearing Ricci soliton in perspective of Schouten-van Kampen association are likewise displayed. In the last segment,...

This research article attempts to explain the characteristics of Riemannian submersions in terms of almost η-Ricci-Bourguignon soliton, almost η-Ricci soliton, almost η-Einstein soliton, and almost η-Schouten soliton with the potential vector field. Also, we discuss the various conditions for which the target manifold of Riemannian submersion is η-...

The aim of this research article is to categorize (κ, µ)-contact metric mani-folds that fulfill certain curvature restriction on Q-curvature tensor, W 2-curvature tenor M-projective curvature and W 9-curvature tensor. Further, we prove that if the man-ifold gratifies these curvature conditions then it is either N (κ)-contact metric manifold or loca...

We categorize almost quasi-Yamabe solitons on -Sasakian manifolds and their -submanifolds whose potential vector field is torse-forming, admitting a generalized symmetric metric connection of type . Finally, a nontrivial example is provided to confirm some of our results. 1. Introduction Yamabe solitons (YS) are ideas that generate self-similar Ya...

The aim of this paper is to characterize eta-Einstein N(k)-contact metric manifolds admits eta-Ricci soliton. Several consequences of this result are discussed. Beside these, we also study eta-Einstein N(k)-contact metric manifolds satisfying certain curvature conditions. Among others it is shown that such a manifold is either locally isometric to...

The objective of the present research article is to investigate the characteristics of weakly symmetric and weakly concircular symmetric almost Kenmotsu (κ, µ, ν)-spaces admitting conformal Ricci solitons. In addition, we also discuss some results based on almost pseudo Ricci symmetric and weakly cyclic Z symmetric almost Kenmotsu (κ, µ, ν)-spaces.

Marma is originated from the Sanskrit root word etymologically, ‘Mr’- Marne and the term ‘Sthana’ signi-fies the location. This jointly signifies the vitality of Marma in the human body. Any kind of injury to these parts of body may cause sensory or functional deformity or severe haemorrhage or even collapse and death instantaneously or lately. The...

The present paper deals with the study of generalized quasi-conformal curvature tensor inside the setting of (k, µ) ′-almost Kenmotsu manifold with respect to η-Ricci soliton. Certain consequences of these curvature tensor on such manifold are likewise displayed. Finally, we illustrate some examples based on this study.

The aim of the present paper is to study the properties of Riemannian manifolds equipped with a projective semi-symmetric connection.

We classify almost Yamabe and Yamabe solitons on Lorentzian para (briefly, LP) Sasakian manifolds whose potential vector field is torse-forming, admitting a generalized symmetric metric connection of type (α, β). Certain results of such solitons on CR-submanifolds of LP-Sasakian manifolds with respect to a generalized symmetric metric connection ar...

The aim of the present paper is to study the properties of locally and globally φ-concircularly symmetric Kenmotsu manifolds endowed with a semi-symmetric metric connection. First, we will prove that the locally φ-symmetric and the globally φ-concircularly symmetric Kenmotsu manifolds are equivalent. Next, we will study three dimensional locally φ-...

The object of the present paper is to study certain geometrical properties of the submanifolds of generalized Sasakian space-forms. We deduce some results related to the invariant and anti-invariant slant submanifolds of the generalized Sasakian space-forms. Finally, we study the properties of the sectional curvature, totally geodesic and umbilical...

In paracontact geometry, we consider η-Ricci soliton on η-Einstein para-Kenmotsu manifolds (M, ϕ, g, ζ, λ, µ, a, b) and prove that on (M, ϕ, g, ζ, λ, µ, a, b), if ζ is a recurrent torse forming η-Ricci soliton then ζ is concurrent as well as Killing vector field. Further we prove that if the torse forming η-Ricci soliton on (M, ϕ, g, ζ, λ, µ, a, b)...

The object of present paper is to study some geometrical properties of quasi Einstein Hermitian manifolds (QEH)n, generalized quasi Einstein Hermitian manifolds G(QEH)n, and pseudo generalized quasi Einstein Hermitian manifolds P (GQEH)n.

The main purpose of this paper is to study pseudosymmetric conditions on alpha-Kenmotsu manifolds with dimension . In particular, we obtain some results satisfying some certain curvature conditions on such manifolds depending on.

The aim of the present paper is to study the properties of Kenmotsu manifolds equipped with a non-symmetric non-metric connection. We also establish some curvature properties of Kenmotsu manifolds. It is proved that a Kenmotsu manifold endowed with a non-symmetric non-metric is irregular.

The aim of the present paper is to study the properties of Kenmotsu manifolds equipped with a non-symmetric non-metric connection. We also establish some curvature properties of Kenmotsu manifolds. It is proved that a Kenmotsu manifold endowed with a non-symmetric non-metric is irregular.

We classify quasi-Sasakian 3-manifold with proper η-Ricci soliton and investigate its geometrical properties. Certain results of Yamabe soliton on such manifold are also presented. Finally, we construct an example of non-existence of proper η-Ricci soliton on 3-dimensional quasi-Sasakian manifold to illustrate the results obtained in previous secti...

The present paper deals with the study of a D -homothetic deformation of an extended generalized ϕ -recurrent ( LCS ) 2 n +1 -manifolds their geometrical properties are discussed. Finally, we construct an example of an extended generalized ϕ -recurrent ( LCS ) 3 -manifolds that are neither ϕ -recurrent nor generalized ϕ -recurrent under such deform...

In this paper, $N(\kappa)$-contact metric manifolds satisfying the conditions $\widetilde{C}(\xi,X)\cdot\widetilde{C}=0$, $\widetilde{C}(\xi,X)\cdot R=0$, $\widetilde{C}(\xi,X)\cdot S=0$, $\widetilde{C}(\xi,X)\cdot C=0$, $C\cdot S=0$ and $R\cdot C=f_{C}Q(g,C)$ have been investigated and obtained their classification. Among others it is shown that a...

We define a class of semi-symmetric metric connection on a Riemannian manifold for which the conformal, the projective, the con-circular, the quasi conformal and the m-projective curvature tensors are invariant. We also study the properties of semisymmetric, Ricci semisymmetric and Eisenhart problems for solving second order parallel symmetric and...

We introduce the notion of extended generalized φ-recurrent (LCS) 2n+1-manifolds and study its various geometric properties with an example. Finally, we construct an example of 3-dimensional extended generalized φ-recurrent (LCS) 2n+1-manifold which is neither φ-recurrent nor generalized φ-recurrent.

The main purpose of the paper is to study the nature of Ricci soliton on para-Kähler manifolds satisfying some certain curvature conditions. In particular, if we consider certain pseu-dosymmetric and parallel symmetric tensor on para-Kähler manifolds we prove that V is solenoidal if and only if it is shrinking or steady or expanding depending upon...

The object of the present paper is to study the properties of Ricci and Yamabe solitons on the perfect fluid LP-Sasakian spacetimes. Certain results related to the application of such spacetimes in the general relativity and cosmology are obtained.

This paper deals with the geometry of almost alpha Kenmotsu manifold satisfying some certain semi symmetric conditions. In particular, we study conformally and concircularly semi symmetric conditions. We conclude our results with an example of almost alpha Kenmotsu manifolds depending on alpha.

The object of the present paper is to study the Φ-Ricci symmetric, locally Φ-Ricci symmetric and cyclic Ricci parallel three-dimensional f- Kenmotsu manifold bearing the function f being constant. We have considered almost conformal Ricci soliton on the three-dimensional f-Kenmostu manifold and deduced the condition for an almost conformal Ricci so...

The object of the present paper is to carry out η-Ricci soliton on 3-dimensional regular f-Kenmotsu manifold and we turn up some geometrical results. Furthermore we bring out the curvature conditions for which η-Ricci soliton on such manifolds are shrinking, steady or expanding. We wind up by considering examples of existence of shrinking and expan...

In this paper, we consider an η-Ricci soliton on the (LCS)n-manifolds (M, φ, ξ, η, g) satisfying certain curvature conditions likes: R(ξ, X) · S = 0 and W2(ξ, X) · S = 0. We show that on the (LCS)n-manifolds (M, φ, ξ, η, g), the existence of η-Ricci soliton implies that (M, g) is a quasi-Einstein. Further, we discuss the existence of Ricci solitons...

The object of the present paper is to study Lorentzian concir-cular structure manifolds (briefly (LCS) 2n+1-manifolds) admitting a semi-symmetric metric connection, whose concircular curvature tensor satisfies certain conditions.

We set a definition of a {(0,2)} -type tensor on the generalized Sasakian-space-forms. The necessary and sufficient conditions for W -semisymmetric generalized Sasakian-space forms are studied. Certain results of the Ricci solitons, the Killing vector fields and the closed 1-form on the generalized Sasakian-space-forms are derived. We also verify o...

This paper deals with the study of a special class of almost contact metric manifold, called trans-Sasakian manifold. We also study the properties of the Ricci solitons in generalized recurrent, Weyl semisymmetric, Einstein semisymmetric, Weyl pseudo symmetric and partially Ricci pseudo symmetric trans-Sasakian manifolds. Example of trans-Sasakian...

The present paper deals with the study of Kenmotsu manifolds equipped with a semi-symmetric metric connection. The properties of η−parallel Ricci tensor, globally symmetric and φ −symmetric Kenmotsu manifolds with the semi-symmetric metric connection are evaluated. In the end, we construct an example of a 3−dimensional Kenmotsu manifold admitting s...

The present paper deals with the study of Ricci soliton on weak symmetries of almost Kenmotsu (κ, µ, ν)−space and its geometric properties. Also, we obtain the condition for Ricci soliton on weakly symmetric and weakly Ricci symmetric almost Kenmotsu (κ, µ, ν)−space with the tensor field £ ξ g + 2S is parallel to be shrinking, steady and expanding...

The aim of the present paper is to study the properties of Riemannian manifolds equipped with a projective semi-symmetric connection.

The aim of the present paper is to study the properties of Riemannian manifolds equipped with a projective semi-symmetric connection.

In the context of para-contact Hausdorff geometry η-Ricci solitons and gradient Ricci solitons are considered on manifolds. We establish that on an (LCS)n-manifold (M, ϕ, ξ, η, 𝑔), the existence of an ηRicci soliton implies that (M, 𝑔) is quasi-Einstein. We find conditions for Ricci solitons on an (LCS)n-manifold (M, ϕ, ξ, η, 𝑔) to be shrinking, st...

To investigate the effectiveness, efficiency and cost gains in collecting patient eye health information from remote rural villages of India by trained field investigators through an Android Based Tablet Application namely ‘Sankara Electronic Remote Vision Information System (SERVIS)”. During January and March 2016, a population based cross-section...

We classify para-Sasakian manifolds with respect to quarter-symmetric metric connection. Among others it is proved that φ-concircularly flat para-Sasakian manifold is an η-Einstein manifold and a non-semisymmetric Ricci-generalized pseudosymmetric para-Sasakian manifold has constant curvature if and only if the space like vector field ξ is harmonic...

Objective Snodgrass urethroplasty remains the preferred technique in primary distal hypospadias but development of meatal stenosis often limits distal extension of the midline incision of the urethral plate (MIUP), which remains a limiting factor in reconstructing an apical neomeatus (NM). We here-in assess the cosmetic and functional outcome with...

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All these paper are communicated for publication in th field of differential geometry

We classify Lorentzian para-Sasakian manifolds admitting locally and globally j -pseudo-quasi-conformal structure. Among others it is proved that a globally j -pseudo-quasi-conformally symmetric LP-Sasakian manifold is globally j -symmetric. Some results for a 3-dimensional locally j -pseudo-quasi-conformally symmetric LP-Sasakian manifold are als...

Bilateral acalculus ureteric obstruction is described as rare sequelae of acute appendicitis in two paediatric patients aged 6 and 11 years presented with features of anuria. Imaging and endoscopic evaluation confirmed bilateral ureteric obstruction secondary to bladder wall oedema as an inflammatory reaction to appendix. Both cases recovered follo...

Background: Although Laparoscopy is becoming a standard procedure in management of pediatric urology disorders, but its widespread use still limited. This can be attributed mainly to difficulty in acquiring such specialized technique, especially by post graduate practicing urologist. Thus, we herein evaluate the impact of condensed laparoscopic tr...

The object of the present paper is to study three-dimensional quasi-Sasakian manifold equipped with semi-symmetric metric connection. The geometrical properties of conformal curvature tensor and the conservative quasi-conformal curvature tensor are discussed with such connection. Among other we have deal the conservative properties of quasi-conform...

Duodenal ulcer perforation in pediatric age group is an uncommon entity; hence, it is not usually considered in the differential diagnosis of acute abdomen in these patients. It is important for the emergency physician to consider perforated peptic ulcer in the differential diagnosis of children presenting with acute abdominal pain, gastrointestina...

This paper is devoted to the study of a semi-invariant   –submanifolds of trans-Sasakian manifold. Further we investigated the integrability of the distribution defined by this submanifold. An addition, some results are given related to the totally umbilical case.

The object of the present paper is to study N(k) -manifolds with pseudo projective curvature tensor, the scalar curvature of pseudo projectively flat N(k) -manifold with the condition a =0 and such manifold with partially Ricci pseudo symmetric are also considered

We classify Lorentzian Concircular Structure manifolds (briefly (LCS) 2n+1 -manifold) admitting a W2 - curvature tensor and obtain some interesting results.

In this paper, we examine the global properties of generalized Sasakian space forms and obtained some interesting results.

The object of the present paper is to study weakly concircular symmetric, weakly concircular Ricci symmetric and special weakly concircular Ricci symmetric Lorentzian concircular structure manifolds. RESUMEN El objetivo del presente artículo es estudiar las variedades de estructura simétricas con-circulares débiles, las simétricas Ricci concircular...

A five-year study (2001 to 2006) was undertaken in semiarid regions to identify the cropping systems which may be more remunerative, ecofriendly and sustainable over existing cropping systems and are farmer-friendly, so that they may be convinced to shift to the new cropping systems to maintain soil health and get increased returns. The study indic...

This study is an attempt to investigate the differences existing in the Somatotypes of elite male Indian high jumpers, Long jumpers, Triple jumpers, Pole vaulters, Shot putters, Discus throwers, Javelin throwers and Hammer throwers. Heath Carter (1990) method was used to determine the Somatotype of elite Indian male jumpers and throwers of dif...

The object of the present paper is to study locally ϕ –symmetric three-dimensional generalized Sasakian space forms and such manifolds with Ricci semi symmetric, η -parallel Ricci tensor and cyclic Ricci tensor. Such space forms with non-null concircular vector field are also considered.

We classify Lorentzian alpha - Sasakian manifolds, which satisfy the derivation.

We classify Lorentzian concircular structure manifolds, which satisfy the condition C(ξ,X) · C = 0, C(ξ,X) ·R = 0, C(ξ,X) ·S = 0 and C(ξ,X) · C = 0.

The objective of the present paper is to study ϕ-recurrent trans-Sasakian manifolds. An expression for the Ricci tensor is given.

In this paper we study some properties of curvature tensor, projective curvature tensor with respect to semi-symmetric metric connection in a k-contact and trans-Sasakian manifold. Further we obtained necessary and sufficient condition for the Ricci tensor to be symmetric and skew-symmetric with respect to this connection ∇ ~ . Key words and phrase...

We study generalized Sasakian-space-forms (briefly M(f 1 ,f 2 ,f 3 ) 2n+1 -manifolds). The theorems established in this paper are of general character and provide an extension of a result recently given by De and Sarkar.

In this paper, we have studied the nature of 3 - dimensional Lorentzian alpha sasakian manifold and proved that if the manifold satisfied R(X,Y).S=0 and eta parallel Ricci tensor then the manifolds is locally phi symmetric in both the cases. Further proved that if the manifolds, admit a non null concircular vector field, manifold is of space form.