Results 1 to 10 of about 72 (53)
AxiomsIn 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 +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
exaly +3 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 +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.
Adara M Blaga, Blaga Adara M
exaly +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 +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 +2 more
doaj +3 more sources
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.
Avijit Sarkar +2 more
exaly +2 more sources
Yamabe Solitons with potential vector field as torse forming [PDF]
Cubo, 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.
Shyamal Kumar Hui
exaly +4 more sources
Journal of Geometry and Physics, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adela Mihai, Ion Mihai
exaly +3 more sources
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, and its associated B-metric.
Mancho Manev, Manev Mancho
exaly +4 more sources