Results 31 to 40 of about 342 (113)

Ricci soliton and geometrical structure in a perfect fluid spacetime with torse-forming vector field [PDF]

open access: closedAfrika Matematika, 2019
In this paper geometrical aspects of perfect fluid spacetime with torse-forming vector field are discribed and Ricci soliton in perfect fluid spacetime with torse-forming vector field are determined. Conditions for the Ricci soliton to be expanding, steady or shrinking are also given.
V. Venkatesha, H. Aruna Kumara
openalex   +3 more sources

Torse forming vector fields and exterior concurrent vector fields on Riemannian manifolds and applications

open access: closedJournal of Geometry and Physics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adela Mihai, Ion Mihai
openalex   +3 more sources

On tensor fields semiconjugated with torse-forming vector fields [PDF]

open access: green, 2005
summary:The paper deals with tensor fields which are semiconjugated with torse-forming vector fields.
Lukáš Rachůnek, Josef Mikeš
openalex   +2 more sources

On an Anti-Torqued Vector Field on Riemannian Manifolds

open access: yesMathematics, 2021
A torqued vector field ξ is a torse-forming vector field on a Riemannian manifold that is orthogonal to the dual vector field of the 1-form in the definition of torse-forming vector field. In this paper, we introduce an anti-torqued vector field which is
Sharief Deshmukh   +2 more
doaj   +1 more source

Conformal η‐Ricci‐Yamabe Solitons within the Framework of ϵ‐LP‐Sasakian 3‐Manifolds

open access: yesAdvances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022
In the present note, we study ϵ‐LP‐Sasakian 3‐manifolds M3(ϵ) whose metrics are conformal η‐Ricci‐Yamabe solitons (in short, CERYS), and it is proven that if an M3(ϵ) with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if Λ − ϵσ = −2ϵl + (mr/2) + (1/2)(p + (2/3)). Further, we study gradient CERYS in M3(ϵ) and proved
Abdul Haseeb   +2 more
wiley   +1 more source

Some properties of biconcircular gradient vector fields; pp. 162–169 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2009
We consider a Riemannian manifold carrying a biconcircular gradient vector field X, having as generative a closed torse forming U. The existence of such an X is determined by an exterior differential system in involution depending on two arbitrary ...
Adela Mihai
doaj   +1 more source

Para-Ricci-Like Solitons on Riemannian Manifolds with Almost Paracontact Structure and Almost Paracomplex Structure

open access: yesMathematics, 2021
We introduce and study a new type of soliton with a potential Reeb vector field on Riemannian manifolds with an almost paracontact structure corresponding to an almost paracomplex structure.
Hristo Manev, Mancho Manev
doaj   +1 more source

Investigation of Pseudo‐Ricci Symmetric Spacetimes in Gray’s Subspaces

open access: yesJournal 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

On trans-Sasakian $3$-manifolds as $\eta$-Einstein solitons

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
The present paper is to deliberate the class of $3$-dimensional trans-Sasakian manifolds which admits $\eta$-Einstein solitons. We have studied $\eta$-Einstein solitons on $3$-dimensional trans-Sasakian manifolds where the Ricci tensors are Codazzi type ...
D. Ganguly, S. Dey, A. Bhattacharyya
doaj   +1 more source

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