Results 21 to 30 of about 72 (53)
Investigation of Pseudo‐Ricci Symmetric Spacetimes in Gray’s Subspaces
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In the present paper, we focused our attention to study pseudo‐Ricci symmetric spacetimes in Gray’s decomposition subspaces. It is proved that (PRS)n spacetimes are Ricci flat in trivial, A, and B subspaces, whereas perfect fluid in subspaces I, I ⊕ A, and I ⊕ B, and have zero scalar curvature in subspace A ⊕ B.
Sameh Shenawy +5 more
wiley +1 more source
Conformal Yamabe soliton and * -Yamabe soliton with torse forming potential vector field
, 2021 The goal of this paper is to study conformal Yamabe soliton and $*$-Yamabe soliton, whose potential vector field is torse forming. Here, we have characterized conformal Yamabe soliton admitting potential vector field as torse forming with respect to Riemannian connection, semi-symmetric metric connection and projective semi-symmetric connection on ...
Roy, Soumendu +2 more
openaire +3 more sources
On Riemannian manifolds endowed with a locally conformal cosymplectic structure
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 21, Page 3471-3478, 2005., 2005 We deal with a locally conformal cosymplectic manifold M(φ, Ω, ξ, η, g) admitting a conformal contact quasi‐torse‐forming vector field T. The presymplectic 2‐form Ω is a locally conformal cosymplectic 2‐form. It is shown that T is a 3‐exterior concurrent vector field. Infinitesimal transformations of the Lie algebra of ∧M are investigated.
Ion Mihai, Radu Rosca, Valentin Ghişoiu
wiley +1 more source
On a class of even‐dimensional manifolds structured by an affine connection
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 11, Page 681-686, 2002., 2002 We deal with a 2m‐dimensional Riemannian manifold (M, g) structured by an affine connection and a vector field 𝒯, defining a 𝒯‐parallel connection. It is proved that 𝒯 is both a torse forming vector field and an exterior concurrent vector field. Properties of the curvature 2‐forms are established.
I. Mihai, A. Oiagă, R. Rosca
wiley +1 more source
On a class of exact locally conformal cosymlectic manifolds
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 267-278, 1996., 1994 An almost cosymplectic manifold M is a (2m + 1)‐dimensional oriented Riemannian manifold endowed with a 2‐form Ω of rank 2m, a 1‐form η such that Ωm Λ η ≠ 0 and a vector field ξ satisfying iξΩ = 0 and η(ξ) = 1. Particular cases were considered in [3] and [6].
I. Mihai, L. Verstraelen, R. Rosca
wiley +1 more source
On the Potential Vector Fields of Soliton-Type Equations
AxiomsWe highlight some properties of a class of distinguished vector fields associated to a (1,1)-tensor field and to an affine connection on a Riemannian manifold, with a special view towards the Ricci vector fields, and we characterize them with respect to ...
Adara M. Blaga
doaj +1 more source
Almostη-Ricci and almostη-Yamabe solitons with torse-forming potential vector field
Quaestiones Mathematicae, 2020 We provide properties of almost $η$-Ricci and almost $η$-Yamabe solitons on submanifolds isometrically immersed into a Riemannian manifold $\left(\widetilde{M},\widetilde{g} \right)$ whose potential vector field is the tangential component of a torse-forming vector field on $\widetilde{M}$, treating also the case of a minimal or pseudo quasi-umbilical ...
Blaga, Adara M., Özgür, Cihan
openaire +4 more sources
Ricci‐Bourguignon Solitons With Certain Applications to Relativity
Journal of Mathematics, Volume 2025, Issue 1, 2025.This article concerns with the investigation of Ricci‐Bourguignon solitons and gradient Ricci‐Bourguignon solitons in perfect fluid space‐times and generalised Robertson–Walker space‐times. First, we deduce the criterion for which the Ricci‐Bourguignon soliton in a perfect fluid space‐time is steady, expanding or shrinking. Then, we establish that if a
Krishnendu De +4 more
wiley +1 more source
Geometric Classifications of Perfect Fluid Space‐Time Admit Conformal Ricci‐Bourguignon Solitons
Journal of Mathematics, Volume 2024, Issue 1, 2024.This paper is dedicated to the study of the geometric composition of a perfect fluid space‐time with a conformal Ricci‐Bourguignon soliton, which is the extended version of the soliton to the Ricci‐Bourguignon flow. Here, we have delineated the conditions for conformal Ricci‐Bourguignon soliton to be expanding, steady, or shrinking.
Noura Alhouiti +6 more
wiley +1 more source
MathematicsThis paper undertakes a detailed study of η-Ricci–Bourguignon solitons on ϵ-Kenmotsu manifolds, with particular focus on three special types of Ricci tensors: Codazzi-type, cyclic parallel and cyclic η-recurrent tensors that support such solitonic ...
Md Aquib +3 more
doaj +1 more source