Biswa Ranjan Datta

Biswa Ranjan Datta
University of Burdwan | B.U. · Department of Mathematics

About

6
Publications
455
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8
Citations
Citations since 2016
6 Research Items
8 Citations
201620172018201920202021202201234567
201620172018201920202021202201234567
201620172018201920202021202201234567
201620172018201920202021202201234567

Publications

Publications (6)
Preprint
Full-text available
The purpose of the article is to investigate the existence of Ricci solitons and the nature of curvature inheritance as well as collineations on the Robinson-Trautman (briefly, RT) spacetime. It is shown that under certain conditions RT spacetime admits almost Ricci soliton, almost $\eta$-Ricci soliton, almost gradient $\eta$-Ricci soliton. As a ge...
Article
Full-text available
This article deals with the investigation of geometric properties in terms of curvatures of Lemaître–Tolman–Bondi (briefly, LTB) spacetime (Lemaître 1933; Tolman 1934; Bondi 1947), an inhomogeneous cosmological model of the universe. It is shown that LTB spacetime is an Einstein manifold of level 3, 2-quasi Einstein and generalized Roter type manif...
Article
The Vaidya–Bonner metric is a non-static generalization of Reissner–Nordström metric and this paper deals with the investigation of the curvature restricted geometric properties of such a metric. The scalar curvature vanishes and several pseudosymmetric-type curvature conditions are fulfilled by this metric. Also, it is a [Formula: see text]-quasi-...
Article
This paper is concerned with the study of [Formula: see text]-manifolds and Ricci solitons. It is shown that in a [Formula: see text]-spacetime, the fluid has vanishing vorticity and vanishing shear. It is found that in an [Formula: see text]-manifold, [Formula: see text] is an irrotational vector field, where [Formula: see text] is a non-zero smoo...
Preprint
The objective of this paper is to introduce the notion of generalized almost statistical (briefly, GAS) convergence of bounded real sequences, which generalizes the notion of almost convergence as well as statistical convergence of bounded real sequences. As a special kind of Banach limit functional, we also introduce the concept of Banach statisti...

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