Results 21 to 30 of about 342 (113)

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.
Yadab ChandraMandal, Shyamal Kumar Hui
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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, Sharief Deshmukh, Mohd. Danish Siddiqi   +2 more
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ON SOME RIEMANNIAN MANIFOLDS ADMITTING TORSE-FORMING VECTOR FIELDS [PDF]

Demonstratio Mathematica, 1985
The following theorem is proved: If in a Riemannian manifold (M,g) with dim \(M\geq 4\) the covariant derivative \(R_{ij,k}\) of the Ricci tensor is symmetric in all indices, if \(R_{ij}[\ell m]=0\), and if there exists a vector field \(v_ i\) such that \(v_{i,j}=Fg_{ij}+A_ jv_ i\) with a certain scalar field F and a vector field \(A_ j\) (i.e.
Jan Kowolik
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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.
Shigeo Fueki, Seiichi Yamaguchi
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On a class of even-dimensional manifolds structured by an affine connection

International Journal of Mathematics and Mathematical Sciences, 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
I. Mihai, A. Oiagă, R. Rosca
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On Riemannian manifolds endowed with a locally conformal cosymplectic structure

International Journal of Mathematics and Mathematical Sciences, 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.
Ion Mihai, Radu Rosca, Valentin Ghişoiu   +2 more
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Ricci Solitons on Riemannian Hypersurfaces Generated by Torse-Forming Vector Fields in Riemannian and Lorentzian Manifolds [PDF]

Axioms
In this paper, we examine torse-forming vector fields to characterize extrinsic spheres (that is, totally umbilical hypersurfaces with nonzero constant mean curvatures) in Riemannian and Lorentzian manifolds. First, we analyze the properties of these vector fields on Riemannian manifolds.
Norah Alshehri, Mohammed Guediri
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Pairs of Associated Yamabe Almost Solitons with Vertical Potential on Almost Contact Complex Riemannian Manifolds

Mathematics, 2023
Almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are, in principle, equipped with a pair of mutually associated pseudo-Riemannian metrics. Each of these metrics is specialized as a Yamabe almost soliton with a
Mancho Manev
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MYLLER CONFIGURATIONS IN FINSLER SPACES. APPLICATIONS TO THE STUDY OF SUBSPACES AND OF TORSE FORMING VECTOR FIELDS [PDF]

Journal of the Korean Mathematical Society, 2008
In this paper we define a Myller configuration in a Finsler space and use some special configurations to obtain results about Finsler subspaces. Let F n =(M, F ) be a Finsler space, with M a real, differentiable manifold of dimension n. Using the pull back bundle (π∗TM, π, TM) of the tangent bundle (TM, π, M) by the mapping π = π/TM and the Cartan ...
Oana Constantinescu
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*-Ricci-Yamabe soliton on Kenmotsu manifold with torse forming potential vector field

Filomat
The 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, Santu Dey, Ali H. Alkhaldi, Akram Ali, Arindam Bhattacharyya   +4 more
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