Haradhan Kundu

Haradhan Kundu
Bankura Zilla Saradamani Mahila Mahavidyapith · Department of Mathematics

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
11 Research Items
329 Citations
20162017201820192020202120220102030405060
20162017201820192020202120220102030405060
20162017201820192020202120220102030405060
20162017201820192020202120220102030405060
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)
Preprint
Full-text available
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.
Article
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.
Article
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...
Article
Full-text available
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.
Article
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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...
Article
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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...
Article
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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...
Article
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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...
Article
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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...
Article
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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...
Article
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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...
Article
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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...
Article
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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...
Article
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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...
Article
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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...
Article
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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...
Article
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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).
Article
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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...
Article
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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...

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