Results 1 to 10 of about 252 (77)

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.
core   +6 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   +4 more sources

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   +4 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   +3 more sources

Classification of Holomorphic Functions as Pólya Vector Fields via Differential Geometry

Mathematics, 2021
We review Pólya vector fields associated to holomorphic functions as an important pedagogical tool for making the complex integral understandable to the students, briefly mentioning its use in other dimensions.
Lucian-Miti Ionescu, Cristina-Liliana Pripoae, Gabriel-Teodor Pripoae   +2 more
doaj   +3 more sources

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
openaire   +4 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

Ricci Solitons on Riemannian Hypersurfaces Generated by Torse-Forming Vector Fields in Riemannian and Lorentzian Manifolds

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.
Norah Alshehri, Mohammed Guediri
doaj   +2 more sources

A Note on Generalized Quasi-Einstein and (λ, n + m)-Einstein Manifolds with Harmonic Conformal Tensor

Mathematics, 2022
Sufficient conditions for a Lorentzian generalized quasi-Einstein manifold M,g,f,μ to be a generalized Robertson–Walker spacetime with Einstein fibers are derived. The Ricci tensor in this case gains the perfect fluid form.
Sameh Shenawy, Carlo Alberto Mantica, Luca Guido Molinari, Nasser Bin Turki   +3 more
doaj   +1 more source

General Relativistic Space-Time with η₁-Einstein Metrics

Mathematics, 2022
The present research paper consists of the study of an η1-Einstein soliton in general relativistic space-time with a torse-forming potential vector field.
Yanlin Li, Fatemah Mofarreh, Santu Dey, Soumendu Roy, Akram Ali   +4 more
doaj   +1 more source