Results 11 to 20 of about 287 (79)

A Note on LP-Sasakian Manifolds with Almost Quasi-Yamabe Solitons

open access: yesJournal of Mathematics, 2021
We categorize almost quasi-Yamabe solitons on LP-Sasakian manifolds and their CR-submanifolds whose potential vector field is torse-forming, admitting a generalized symmetric metric connection of type α,β.
Sunil Kumar Yadav   +2 more
doaj   +1 more source

Harmonic Maps and Torse-Forming Vector Fields

open access: yesInternational 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   +4 more sources

On trans-Sasakian $3$-manifolds as $\eta$-Einstein solitons

open access: yesKarpatsʹkì 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   +1 more source

General Relativistic Space-Time with η1-Einstein Metrics

open access: yesMathematics, 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   +4 more
doaj   +1 more source

Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci-Yamabe Metric

open access: yesAdvances in Mathematical Physics, 2021
In the present paper, we investigate the nature of Ricci-Yamabe soliton on an imperfect fluid generalized Robertson-Walker spacetime with a torse-forming vector field ξ.
Ali H. Alkhaldi   +3 more
doaj   +1 more source

On torse-forming vector fields and their applications in submanifold theory

open access: yesFilomat, 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, Uday De, Suparna Halder
openaire   +1 more source

Reeb vector field of almost contact metric structure as affine motion

open access: yesДифференциальная 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   +1 more source

Classification of Holomorphic Functions as Pólya Vector Fields via Differential Geometry

open access: yesMathematics, 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   +1 more source

A note on Concircular Structure space-times [PDF]

open access: yes, 2018
In this note we show that Lorentzian Concircular Structure manifolds (LCS)_n coincide with Generalized Robertson-Walker space-times.Comment: 2 ...
Mantica, Carlo Alberto   +1 more
core   +3 more sources

Geometry of almost contact metrics as a *-conformal Ricci-Yamabe solitons and related results [PDF]

open access: yes, 2023
The goal of this paper is to study certain types of metric such as *-conformal Ricci-Yamabe soliton (RYS), whose potential vector field is torse-forming on Kenmotsu manifold.
Dey, Santu, Karaca, Fatma, Roy, Soumendu
core   +1 more source

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