Results 41 to 50 of about 38,523 (104)
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
Some results on almost eta-Ricci-Bourguignon solitons [PDF]
, 2021 We determine a formula to compute the defining function of a gradient almost Ricci-Bourguignon soliton by means of the potential vector field, providing in this sense two examples. We also give a rigidity result in this case.
Blaga, Adara M., Tastan, Hakan M.
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SOME NOTES ON KENMOTSU MANIFOLD [PDF]
, 2021 In the present paper, we deal with a Kenmotsu manifold $M$. Firstly, we study the notion of torse-forming vector field on such a manifold. Then, we investigate some curvature conditions such as $Q.\mathcal{M}=0$ and $C.Q=0$ on such a manifold and obtain ...
Yoldaş, Halil İbrahim, Yasar, Erol
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Computer technology for interpreting vector measurements of the magnetic field [PDF]
, 2021 Computer technology is presented to solve the inverse problem of magnetic field vector measurements using software and algorithmic support for an automated system to interpret potential fields.
O. P. Lapinа, T. L. Mikheevа
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$\eta $-Ricci Solitons on $\eta $-Einstein $(LCS)_n$-Manifolds [PDF]
, 2016 summary:The object of the present paper is to study $\eta $-Ricci solitons on $\eta $-Einstein $(LCS)_n$-manifolds. It is shown that if $\xi $ is a recurrent torse forming $\eta $-Ricci soliton on an $\eta $-Einstein $(LCS)_n$-manifold then $\xi $ is (i)
Hui, Shyamal Kumar +1 more
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Geometrical Structure in a Perfect Fluid Spacetime with Conformal Ricci–Yamabe Soliton [PDF]
, 2022 The present paper aims to deliberate the geometric composition of a perfect fluid spacetime with torse-forming vector field ξ in connection with conformal Ricci–Yamabe metric and conformal η-Ricci–Yamabe metric.
Soumendu Roy +4 more
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Ricci-Bourguignon soliton on three dimensional para-Sasakian manifold [PDF]
Journal of HyperstructuresIn the present paper we study Ricci-Bourguignon solitons on three dimensional para-Sasakian manifolds with potential vector field as a special vector field. We proved the conditions for such manifold to be isometric to hyperbolic space.
Yashaswini R, Nagaraja H.G.
doaj +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
η-Ricci solitons in (ε)-almost paracontact metric manifolds [PDF]
, 2018 The object of this paper is to study η -Ricci solitons on ( ε ) -almost paracontact metric manifolds. We investigate η -Ricci solitons in the case when its potential vector field is exactly the characteristic vector field ξ of the ( ε ) -almost ...
Selcen Yüksel Perktaş +7 more
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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