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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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Torse-forming vector fields on m -spheres
AIMS Mathematics, 2022 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.
Amira Ishan , Sharief Deshmukh
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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.
A. Blaga
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A Characterization of GRW Spacetimes
Mathematics, 2021 We show presence a special torse-forming vector field (a particular form of torse-forming of a vector field) on generalized Robertson–Walker (GRW) spacetime, which is an eigenvector of the de Rham–Laplace operator.
Ibrahim Al-Dayel +2 more
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Ricci soliton and geometrical structure in a perfect fluid spacetime with torse-forming vector field [PDF]
Afrika 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.
null Venkatesha, H. Aruna Kumara
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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 ...
Blaga, Adara M., Özgür, Cihan
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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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Yamabe Solitons with potential vector field as torse forming [PDF]
Cubo (Temuco), 2018 Summary: The Riemannian manifolds whose metric is a Yamabe soliton with torse forming potential vector field admitting a Riemannian connection, a semisymmetric metric connection and a projective semisymmetric connection are studied. An example is constructed to verify the theorem concerning Riemannian connection.
ChandraMandal, Yadab, Kumar Hui, Shyamal
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KÄHLERIAN TORSE-FORMING VECTOR FIELDS AND KÄHLERIAN SUBMERSIONS [PDF]
SUT Journal of Mathematics, 1997 Let \((M,J,g)\) be a Kähler manifold. A vector field \(\xi\) on \(M\) is a Kählerian torse-forming vector field if \(\nabla_E\xi\) is contained in span\(\{\xi,J\xi,E,JE\}\) for all vector fields \(E\) on \(M\), where \(\nabla\) is the Levi-Civita connection.
Fueki, Shigeo, Yamaguchi, Seiichi
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*-Ricci-Yamabe soliton on Kenmotsu manifold with torse forming potential vector field
FilomatThe goal of the present paper is to deliberate *-Ricci-Yamabe soliton, whose potential vector field is torse-forming on the Kenmotsu manifold. Here, we have shown the nature of the soliton and found the scalar curvature when the manifold admitting *-Ricci-Yamabe soliton on the Kenmotsu manifold.
R RoySoumendu +4 more
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