Results 21 to 30 of about 38,523 (104)

Reeb vector field of almost contact metric structure as affine motion

Дифференциальная геометрия многообразий фигур, 2022
Smooth manifold with almost contact metric structure (i. e., almost contact metric manifold) was considered in this paper. We used a modern version of Cartan’s method of external forms to conduct our study.
L.A. Ignatochkina
doaj   +2 more sources

Harmonic Maps and Torse-Forming Vector Fields

International Electronic Journal of Geometry, 2020
In this paper, we prove that any harmonic map from a compact orientable Riemannian manifoldwithout boundary (or from complete Riemannian manifold) (M, g) to Riemannian manifold (N, h)is necessarily constant, with (N, h) admitting a torse-forming vector field satisfying some condition.
Ahmed Mohammed Cherif, Mustapha Djaa
openaire   +5 more sources

Almostη-Ricci and almostη-Yamabe solitons with torse-forming potential vector field [PDF]

Quaestiones Mathematicae, 2020
We provide properties of almost $η$-Ricci and almost $η$-Yamabe solitons on submanifolds isometrically immersed into a Riemannian manifold $\left(\widetilde{M},\widetilde{g} \right)$ whose potential vector field is the tangential component of a torse-forming vector field on $\widetilde{M}$, treating also the case of a minimal or pseudo quasi-umbilical ...
Blaga, Adara M., Özgür, Cihan
openaire   +5 more sources

Twisted Lorentzian manifolds: a characterization with torse-forming time-like unit vectors [PDF]

General Relativity and Gravitation, 2016
Robertson–Walker and generalized Robertson–Walker spacetimes may be characterized by the existence of a time-like unit torse-forming vector field, with other constrains.
C. Mantica, L. Molinari
semanticscholar   +5 more sources

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

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   +3 more sources

General Relativistic Space-Time with η₁-Einstein Metrics [PDF]

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   +2 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, Sarkar Avijit, De Uday Chand   +2 more
exaly   +2 more sources

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

, 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 trans-Sasakian $3$-manifolds as $\eta$-Einstein solitons [PDF]

Karpatsʹkì Matematičnì Publìkacìï, 2021
The present paper is to deliberate the class of $3$-dimensional trans-Sasakian manifolds which admits $\eta$-Einstein solitons. We have studied $\eta$-Einstein solitons on $3$-dimensional trans-Sasakian manifolds where the Ricci tensors are Codazzi type ...
D. Ganguly, S. Dey, A. Bhattacharyya
doaj   +2 more sources

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

Mathematics
Each of the studied manifolds has a pair of B-metrics, interrelated by an almost contact structure. The case where each of these metrics gives rise to an η-Ricci–Bourguignon almost soliton, where η is the contact form, is studied.
Mancho Manev
doaj   +2 more sources