# Haradhan KunduBankura Zilla Saradamani Mahila Mahavidyapith · Department of Mathematics

Haradhan Kundu

Ph. D.

Department of Mathematics,
Bankura Zilla Saradamani Mahila Mahavidyapith,
Bankura-722101\\
West Bengal, India

## About

20

Publications

4,845

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378

Citations

Citations since 2016

Introduction

Additional affiliations

March 2017 - present

**Bankura Zilla Saradamani Mahila Mahavidyapith, Bankura, West Bengal, India**

Position

- Professor (Assistant)

Description

- Working on various geometric structures on Riemann/semi-Riemann manifold

## Publications

Publications (20)

In this work, we have introduced and studied some basic geometric properties of extended weakly symmetric spaces. After classification of this structure we have also established the existence of such a space by presenting a non-trivial example.

The object of the present paper is to investigate D-homothetically deformed (CS)4-spacetime (or GRW-spacetime) satisfying different semi-symmetric conditions, based on the equivalence, proved by Shaikh and Kundu, of the mentioned above structures.

Siklos spacetime represents exact gravitational waves propa�gating on the anti-de-Sitter universe with negative cosmological constant
and it is conformally related to pp-wave spacetime. The object of this
paper is to investigate the curvature restricted geometric structures ad�mitting by the Siklos spacetime and it is shown that such spacetime is
E...

The object of the present note is to discuss about the defining condition of weakly cyclic Ricci symmetric manifolds and weakly cyclic $Z$-symmetric manifolds \cite{DMS15} and the existence of such notion by proper examples.

As a generalization of the Schwarzschild solution, Vaidya presented a radiating metric to develop a model of the exterior of a star including its radiation field, called Vaidya metric. The present paper deals with the investigation on the curvature properties of Vaidya metric. It is shown that Vaidya metric can be considered as a model of different...

Som-Raychaudhuri spacetime is a stationary cylindrical symmetric solution of
Einstein field equation corresponding to a charged dust distribution in rigid
rotation. The main object of the present paper is to investigate the curvature
restricted geometric structures admitting by the Som-Raychaudhuri spacetime and
it is shown that such a spacetime is...

A spacetime denotes a pure radiation field if its energy momentum tensor represents a situation in which all the energy is transported in one direction with the speed of light. In 1989, Wils and later in 1997 Ludwig and Edgar studied the physical properties of pure radiation metrics, which are conformally related to a vacuum spacetime. In the prese...

The main objective of the present paper is to investigate the curvature properties of generalized pp-wave metric. It is shown that generalized pp-wave spacetime is Ricci generalized pseudosymmetric, 2-quasi-Einstein and generalized quasi-Einstein in the sense of Chaki. As a special case it is shown that pp-wave spacetime is semisymmetric, semisymme...

The object of the present paper is to study the characterization of warped product manifolds satisfying some pseudosymmetric type conditions, especially, due to projective curvature tensor. For this purpose we consider a warped product manifold satisfying the pseudosymmetric type condition $R\cdot R = L_1 Q(g,R) + L_2 Q(S,R)$ and evaluate its chara...

The projective curvature tensor $P$ is invariant under a geodesic preserving transformation on a semi-Riemannian manifold. It is well known that $P$ is not a generalized curvature tensor and hence it possesses different geometric properties than other generalized curvature tensors. The main object of the present paper is to study some semisymmetric...

The object of the present paper is to obtain the characterization of a warped
product semi-Riemannian manifold with a special type of recurrent like
structure, called super generalized recurrent. As consequence of this result we
also find out the necessary and sufficient conditions for a warped product
manifold to satisfy some other recurrent like...

The present paper deals with the proper existence of a generalized class of
recurrent manifolds, namely, hyper-generalized recurrent. It also deals with
the existence of properness of various generalized curvature restricted
geometric structures. For example, the existence of manifolds which are
non-recurrent but Ricci recurrent, conharmonically re...

To generalize the notion of recurrent manifold, there are various recurrent
like conditions in the literature. In this paper we present a recurrent like
structure, namely, \textit{super generalized recurrent manifold}, which
generalizes both the hyper generalized recurrent manifold and weakly
generalized recurrent manifold. The main object of the p...

The main object of the present paper is to study the geometric properties of
a generalized Roter type semi-Riemannian manifold, which arose in the way of
generalization to find the form of the Riemann-Christoffel curvature tensor
$R$. Again for a particular curvature restriction on $R$ and the Ricci tensor
$S$ there arise two structures, e. g., loc...

Generalized Roter type manifold is a generalization of conformally flat
manifold as well as Roter type manifold, which gives rise the form of the
curvature tensor in terms of algebraic combinations of the fundamental metric
tensor and Ricci tensors upto level 2. The object of the present paper is to
investigate the characterizations of a warped pro...

In the literature, there are two different notions of pseudosymmetric
manifolds, one by Chaki [9] and other by Deszcz [30], and there are many papers
related to these notions. The object of the present paper is to deduce
necessary and sufficient conditions for a Chaki pseudosymmetric [9] (resp.
pseudo Ricci symmetric [10]) manifold to be Deszcz pse...

The main aim of this article is to investigate the geometric structures
admitting by the G\"{o}del spacetime which produces a new class of
semi-Riemannian manifolds (see Theorem 4.1 and Theorem 4.5). We also consider
some extension of G\"{o}del metric (see Example 4.1).

In the literature we see that after introducing a geometric structure by
imposing some restrictions on Riemann-Christoffel curvature tensor, the same
type structure given by imposing same restriction on other curvature tensors
being studied. The main object of the present paper is to study the equivalency
of various geometric structures obtained by...

This paper is concerned with some results on weakly symmetric and
weakly Ricci symmetric warped product manifolds. We prove the necessary and suffici-
ent condition for a warped product manifold to be weakly symmetric and weakly Ricci
symmetric. On the basis of these results two proper examples of warped product weakly
symmetric and weakly Ricci sy...