General Relativistic Space-Time with η1-Einstein Metrics

Y Li, F Mofarreh, S Dey, S Roy, A Ali - Mathematics, 2022 - mdpi.com
The present research paper consists of the study of an η 1-Einstein soliton in general
relativistic space-time with a torse-forming potential vector field. Besides this, we try to …

Characterization of general relativistic spacetime equipped with η-Ricci-Bourguignon soliton

S Dey, S Roy - Journal of Geometry and Physics, 2022 - Elsevier
In this article, we study some characterization of general relativistic spacetime obeying an η-
Ricci-Bourguignon soliton admitting torse forming potential vector field. Also, we have …

Pseudo-Z symmetric space-times

CA Mantica, YJ Suh - Journal of Mathematical Physics, 2014 - pubs.aip.org
In this paper, we investigate Pseudo-Z symmetric space-time manifolds. First, we deal with
elementary properties showing that the associated form A k is closed: in the case the Ricci …

On pseudosymmetric manifolds

AA Shaikh, R Deszcz, M Hotlos, J Jelwicki… - arXiv preprint arXiv …, 2014 - arxiv.org
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 object …

Recurrent conformal 2-forms on pseudo-Riemannian manifolds

CA Mantica, YJ Suh - International Journal of Geometric Methods in …, 2014 - World Scientific
In this paper, we introduce the notion of recurrent conformal 2-forms on a pseudo-
Riemannian manifold of arbitrary signature. Some theorems already proved for the same …

Pseudo-Z symmetric space-times with divergence-free Weyl tensor and -waves

CA Mantica, YJ Suh - International Journal of Geometric Methods in …, 2016 - World Scientific
In this paper we present some new results about n (≥ 4)-dimensional pseudo-Z symmetric
space-times. First we show that if the tensor Z satisfies the Codazzi condition then its rank is …

Study of Sasakian manifolds admitting -Ricci–Bourguignon solitons with Zamkovoy connection

S Roy, S Dey - ANNALI DELL'UNIVERSITA'DI FERRARA, 2024 - Springer
The present paper is designed to study the geometric composition of an n-dimensional
Sasakian manifold with∗-Ricci–Bourguignon soliton under Zamkovoy connection. Here, we …

Characterization of general relativistic spacetime equipped with different types of solitons

S Dey, MA Khan, S Roy, P Zhao - International Journal of Geometric …, 2022 - World Scientific
The aim of this paper is to study certain types of metrics such as conformal η-Ricci soliton
and Yamabe soliton in general relativistic spacetime. Here, we have shown the nature of the …

[HTML][HTML] Generalized weakly Ricci-symmetric (CS) 4-spacetimes

KK Baishya, S Eyasmin - Journal of Geometry and Physics, 2018 - Elsevier
Abstract (CS) 4-spacetimes with Einstein field equations under some curvature restriction
named generalized weakly Ricci-symmetry have been studied. We have proved that if the …

A new characterization of Kenmotsu manifolds with respect to Q tensor

M Yıldırım - Journal of Geometry and Physics, 2022 - Elsevier
This paper introduces a new characterization of Kenmotsu manifolds and analyzes
curvature conditions of Kenmotsu manifolds admitting the Q tensor whose trace is the well …