Results 1 to 10 of about 287 (79)

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   +2 more sources

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.
Blaga, Adara M.
openaire   +4 more sources

Yamabe Solitons on Conformal Almost-Contact Complex Riemannian Manifolds with Vertical Torse-Forming Vector Field

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
doaj   +3 more sources

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
doaj   +3 more sources

On torse-forming vector fields and biharmonic hypersurfaces in Riemannian manifolds

, 2023
In this paper, we give some properties of biharmonic hypersurface in Riemannian manifold has a torse-forming vector field.
Cherif, Ahmed Mohammed
openaire   +3 more sources

On an Anti-Torqued Vector Field on Riemannian Manifolds

Mathematics, 2021
A torqued vector field ξ is a torse-forming vector field on a Riemannian manifold that is orthogonal to the dual vector field of the 1-form in the definition of torse-forming vector field. In this paper, we introduce an anti-torqued vector field which is
Sharief Deshmukh, Ibrahim Al-Dayel, Devaraja Mallesha Naik   +2 more
doaj   +1 more source

Torse-forming vector fields on $ m $ -spheres

AIMS Mathematics, 2022
<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 Ishan, Sharief Deshmukh
openaire   +2 more sources

Some properties of biconcircular gradient vector fields; pp. 162–169 [PDF]

Proceedings of the Estonian Academy of Sciences, 2009
We consider a Riemannian manifold carrying a biconcircular gradient vector field X, having as generative a closed torse forming U. The existence of such an X is determined by an exterior differential system in involution depending on two arbitrary ...
Adela Mihai
doaj   +1 more source

Para-Ricci-Like Solitons on Riemannian Manifolds with Almost Paracontact Structure and Almost Paracomplex Structure

Mathematics, 2021
We introduce and study a new type of soliton with a potential Reeb vector field on Riemannian manifolds with an almost paracontact structure corresponding to an almost paracomplex structure.
Hristo Manev, Mancho Manev
doaj   +1 more source

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
openaire   +3 more sources