Results 21 to 30 of about 34,283 (120)

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   +2 more sources

Solitonic Aspect of Relativistic Magneto-Fluid Spacetime with Some Specific Vector Fields

Mathematics, 2023
The target of the current research article is to investigate the solitonic attributes of relativistic magneto-fluid spacetime (MFST) if its metrics are Ricci–Yamabe soliton (RY-soliton) and gradient Ricci–Yamabe soliton (GRY-soliton).
Mohd Danish Siddiqi, Fatemah Mofarreh, Sudhakar Kumar Chaubey   +2 more
doaj   +2 more sources

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
doaj   +2 more sources

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
doaj   +2 more sources

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
openaire   +3 more sources

Hyperbolic Ricci solitons on perfect fluid spacetimes [PDF]

AIMS Mathematics
In the present paper, we investigate perfect fluid spacetimes and perfect fluid generalized Roberston-Walker spacetimes that contain a torse-forming vector field satisfying almost hyperbolic Ricci solitons.
Shahroud Azami , Mehdi Jafari , Nargis Jamal, Abdul Haseeb   +3 more
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 the Potential Vector Fields of Soliton-Type Equations

Axioms
We highlight some properties of a class of distinguished vector fields associated to a (1,1)-tensor field and to an affine connection on a Riemannian manifold, with a special view towards the Ricci vector fields, and we characterize them with respect to ...
Adara M. Blaga
doaj   +2 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   +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.
Mihai, Adela, Mihai, Ion
openaire   +3 more sources