activity
20132022
most citedOn pseudosymmetric manifolds

67 citations · 212 across the 14 of their papers we have counts for

collaborators

16 papers

math.DG2022

Extended weakly symmetric manifolds

Kanak Kanti Baishya, Sanjib Kr Jana, Manoj Ray Bakshi +2

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 th…

math.DG2018

A note on the existence of proper weakly cyclic symmetric manifolds

Absos Ali Shaikh, Haradhan Kundu

The object of the present note is to discuss about the defining condition of weakly cyclic Ricci symmetric manifolds and weakly cyclic -symmetric manifolds \cite{DMS15} and the…

math.DG2017★ 12 cited

Curvature properties of Vaidya metric

Absos Ali Shaikh, Haradhan Kundu, Jayshree Sen

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 met…

math.DG2017

Curvature properties of a special type of pure radiation metrics

Absos Ali Shaikh, Haradhan Kundu, Musavvir Ali +1

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…

math.DG2017★ 3 cited

Curvature properties of generalized pp-wave metric

Absos Ali Shaikh, Tran Quoc Binh, Haradhan Kundu

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 generalize…

math.DG2016★ 19 cited

On warped product manifolds satisfying some pseudosymmetric type conditions

Absos Ali Shaikh, Haradhan Kundu

The object of the present paper is to study the characterization of warped product manifolds satisfying some pseudosymmetric type conditions, especially, due to projective curvatur…

math.DG2016★ 6 cited

On some curvature restricted geometric structures for projective curvature tensor

Absos Ali Shaikh, Haradhan Kundu

The projective curvature tensor is invariant under a geodesic preserving transformation on a semi-Riemannian manifold. It is well known that is not a generalized curvature…

math.DG2015

On curvature properties of Som-Raychaudhuri spacetime

Absos Ali Shaikh, Haradhan Kundu

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…

math.DG2015★ 19 cited

On Warped Product Super Generalized Recurrent Manifolds

Absos Ali Shaikh, Haradhan Kundu, Md. Showkat Ali

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 general…

math.DG2015

On super generalized recurrent manifolds

Absos Ali Shaikh, Indranil Roy, Haradhan Kundu

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{…

math.DG2015★ 15 cited

On the existence of a generalized class of recurrent manifolds

Absos Ali Shaikh, Indranil Roy, Haradhan Kundu

The present paper deals with the proper existence of a generalized class of recurrent manifolds, namely, hyper-generalized recurrent manifolds. We have established the proper exist…

math.DG2014★ 14 cited

On warped product generalized Roter type manifold

Absos Ali Shaikh, Haradhan Kundu

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 algeb…

math.DG2014★ 20 cited

On generalized Roter type manifolds

Absos Ali Shaikh, Haradhan Kundu

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…

math.DG2014★ 67 cited

On pseudosymmetric manifolds

Absos Ali Shaikh, Ryszard Deszcz, Marin Hotlos +2

In the literature, there are two different notions of pseudosymmetric manifolds, one by Chaki [7] and other by Deszcz [16], and there are many papers related to these notions. The…

math.DG2014★ 37 cited

Curvature Properties of Gödel metric

Ryszard Deszcz, Marian Hotloś, Jan Jełowicki +2

The main aim of this article is to investigate the geometric structures admitting by the Gödel spacetime which produces a new class of semi-Riemannian manifolds (see Theorem 4.1 an…

math.DG2013

On equivalency of various geometric structures

Absos Ali Shaikh, Haradhan Kundu

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 imposi…