On equivalency of various geometric structures

AA Shaikh, H Kundu - Journal of geometry, 2014 - Springer
In the literature we see that after introducing a geometric structure by imposing some
restrictions on Riemann–Christoffel curvature tensor, the same type structures given by …

On semi-Riemannian manifolds satisfying some generalized Einstein metric conditions

R Deszcz, M Głogowska, M Hotloś… - … Electronic Journal of …, 2023 - dergipark.org.tr
The derivation-commutator R⋅CC⋅R of a semi-Riemannian manifold (M,g), \dimM≧4,
formed by its Riemann-Christoffel curvature tensor R and the Weyl conformal curvature …

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 …

Curvature properties of some class of warped product manifolds

R Deszcz, M Głogowska, J Jełowicki… - International Journal of …, 2016 - World Scientific
We prove that warped product manifolds with p-dimensional base, p= 1, 2, satisfy some
pseudosymmetry type curvature conditions. These conditions are formed from the metric …

Curvature related geometrical properties of topologically charged EiBI-gravity spacetime

AA Shaikh, F Ahmed, M Sarkar - New Astronomy, 2024 - Elsevier
The objective of this article is to study topologically charged Eddington-inspired Born–Infeld
(briefly, EiBI) gravity spacetime. It is proved that the topologically charged EiBI spacetime …

[PDF][PDF] On generalized Roter type manifolds

AA Shaikh, H Kundu - Kragujevac J. Math, 2019 - imi.pmf.kg.ac.rs
In the literature of Riemannian geometry there are many conditions for the equivalency of
semisymmetric (resp., pseudosymmetric) and Ricci-semisymmetric (resp., Ricci …

Relativistic and nonrelativistic Landau levels for the noncommutative quantum Hall effect with anomalous magnetic moment in a conical Gödel-type spacetime

RRS Oliveira - General Relativity and Gravitation, 2024 - Springer
In this paper, we analyze the relativistic and nonrelativistic energy spectra (fermionic Landau
levels) for the noncommutative quantum Hall effect with anomalous magnetic moment in the …

Curvature properties of Morris-Thorne wormhole metric

S Eyasmin, D Chakraborty, M Sarkar - Journal of Geometry and Physics, 2022 - Elsevier
Abstract The Morris-Thorne wormhole is a spherically symmetric solution of Einstein field
equations with cosmological constant. The present article aims to investigate the geometric …

A note on some generalized curvature tensor

R Deszcz, M Głogowska, M Hotloś… - … Electronic Journal of …, 2023 - dergipark.org.tr
For any semi-Riemannian manifold (M, g) we define some generalized curvature tensor E as
a linear combination of Kulkarni-Nomizu products formed by the metric tensor, the Ricci …