Results 11 to 20 of about 342 (113)
Yamabe Solitons on Conformal Almost-Contact Complex Riemannian Manifolds with Vertical Torse-Forming Vector Field [PDF]
Axioms, 2023 A Yamabe soliton is considered on an almost-contact complex Riemannian manifold (also known as an almost-contact B-metric manifold), which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric ...
Mancho Manev
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Remarks on almost Riemann solitons with gradient or torse-forming vector field [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2021 We consider almost Riemann solitons $(V,λ)$ in a Riemannian manifold and underline their relation to almost Ricci solitons. When $V$ is of gradient type, using Bochner formula, we explicitly express the function $λ$ by means of the gradient vector field $V$ and illustrate the result with suitable examples.
Adara M. Blaga
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On torse-forming vector fields and biharmonic hypersurfaces in Riemannian manifolds [PDF]
, 2023 In this paper, we give some properties of biharmonic hypersurface in Riemannian manifold has a torse-forming vector field.
Ahmed Mohammed Cherif
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Torse-forming vector fields on $ m $ -spheres
AIMS Mathematics, 2021 <abstract><p>A characterization of an $ m $-sphere $ \mathbf{S}^{m}(a) $ is obtained using a non-trivial torse-forming vector field $ \zeta $ on an $ m $-dimensional Riemannian manifold.</p></abstract>
Amira A. Ishan, Sharief Deshmukh
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Harmonic Maps and Torse-Forming Vector Fields
International Electronic Journal of Geometry, 2020 In this paper, we prove that any harmonic map from a compact orientable Riemannian manifoldwithout boundary (or from complete Riemannian manifold) (M, g) to Riemannian manifold (N, h)is necessarily constant, with (N, h) admitting a torse-forming vector field satisfying some condition.
Ahmed Mohammed Cherif, Mustapha Djaa
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Conformal Yamabe soliton and $*$-Yamabe soliton with torse forming potential vector field [PDF]
, 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 ...
Soumendu Roy +2 more
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A Note on LP-Sasakian Manifolds with Almost Quasi-Yamabe Solitons
Journal of Mathematics, 2021 We categorize almost quasi-Yamabe solitons on LP-Sasakian manifolds and their CR-submanifolds whose potential vector field is torse-forming, admitting a generalized symmetric metric connection of type α,β.
Sunil Kumar Yadav +2 more
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Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci-Yamabe Metric
Advances in Mathematical Physics, 2021 In the present paper, we investigate the nature of Ricci-Yamabe soliton on an imperfect fluid generalized Robertson-Walker spacetime with a torse-forming vector field ξ.
Ali H. Alkhaldi +3 more
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Almostη-Ricci and almostη-Yamabe solitons with torse-forming potential vector field [PDF]
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 ...
Adara M. Blaga, Cıhan Özgür
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On torse-forming vector fields and their applications in submanifold theory
Filomat, 2023 The present article utilises a property of torse-forming vector fields to deduce some criteria for invariant submanifolds of Riemannian manifolds to be totally geodesic. Certain features of submanifolds of Riemannian manifolds as ?-Ricci Bourguignon soliton have been developed.
Avijit Sarkar +2 more
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