Results 11 to 20 of about 89 (66)

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.
A Sarkar, Uday De, De Uday Chand
exaly   +2 more sources

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

Journal of Geometry and Physics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adela Mihai, Ion Mihai
exaly   +3 more sources

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 ξare discribed and Ricci soliton in perfect fluid spacetime with torse-forming vector field ξare determined. Conditions for the Ricci soliton to be expanding, steady or shrinking are also given.
Venkatesha Venkatesha, Aruna Kumara H
exaly   +3 more sources

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
exaly   +2 more sources

ON SOME RIEMANNIAN MANIFOLDS ADMITTING TORSE-FORMING VECTOR FIELDS

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.
exaly   +3 more sources

Ricci–Bourguignon Almost Solitons with Vertical Torse-Forming Potential on Almost Contact Complex Riemannian Manifolds

Mathematics
Almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are equipped with Ricci–Bourguignon-like almost solitons.
Mancho Manev
doaj   +3 more sources

F($\mathfrak{R},\mathfrak{T}$)-Gravity with Anisotropic Fluid Admitting Hyperbolic Ricci Solitons with Torse-Forming Vector Field

Mathematics
This study is dedicated to a separable F(R,T)-gravity related to the anisotropic matter to extract the equation of state for F(R,T)-gravity. In this research, we offer insight into calculating the density and pressure in the phantom barrier, stiff fluid,
Mohd Danish Siddiqi, Fatemah Mofarreh
doaj   +2 more sources

*-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.
Santu Dey, Akram Ali, Arindam Bhattacharyya   +2 more
exaly   +2 more sources

On Kaehlerian torse-forming vector fields [PDF]

Kodai Mathematical Journal, 1979
Seiichi Yamaguchi
exaly   +4 more sources

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
doaj   +1 more source