Results 61 to 70 of about 34,283 (120)

Characterizations of a Lorentzian Manifold with a semi-symmetric metric connection [PDF]

In this article, we characterize a Lorentzian manifold $\mathcal{M}$ with a semi-symmetric metric connection. At first, we consider a semi-symmetric metric connection whose curvature tensor vanishes and establish that if the associated vector field is a ...
De, Krishnendu, De, Uday Chand, Güler, Sinem   +2 more
core   +2 more sources

$\eta$-Ricci solitons in $(\varepsilon)$-almost paracontact metric manifolds

, 2017
The object of this paper is to study $\eta$-Ricci solitons on $(\varepsilon)$-almost paracontact metric manifolds. We investigate $\eta$-Ricci solitons in the case when its potential vector field is exactly the characteristic vector field $\xi$ of the $(\
Acet, Bilal Eftal, Blaga, Adara Monica, Erdoğan, Feyza Esra, Perktaş, Selcen Yüksel   +3 more
core  

Certain vector fields on f-Kenmotsu manifold with Schouten-van Kampen connection

Filomat
The present study investigates various characteristics of conformal Ricci solitons with a Schouten-van Kampen connection. Characterizations are obtained when the potential vector field involves a torse-forming vector field.
Vaishali Sah, S. Yadav, J. Upreti
semanticscholar   +1 more source

Remarks on Einstein solitons with certain types of potential vector field

, 2021
We consider almost Einstein solitons $(V,\lambda)$ in a Riemannian manifold when $V$ is a gradient, a solenoidal or a concircular vector field. We explicitly express the function $\lambda$ by means of the gradient vector field $V$ and illustrate the ...
Blaga, Adara M., Latcu, Dan Radu
core  

On h-almost conformal η-Ricci-Bourguignon soliton in a perfect fluid spacetime [PDF]

The primary object of the paper is to study h-almost conformal η-Ricci-Bourguignon soliton in an almost pseudo-symmetric Lorentzian Kähler spacetime manifold when some different curvature tensors vanish identically.
Pahan, Sampa
core   +2 more sources

On N(k)-Contact Metric Manifolds

Cubo, 2010
The object of the present paper is to study a type of contact metric manifolds, called contact metric manifolds admitting a non-null concircular and torse forming vector field.
A.A Shaikh, C.S Bagewadi
doaj  

The geometric Cauchy problem for developable submanifolds

, 2019
Given a smooth distribution $\mathscr{D}$ of $m$-dimensional planes along a smooth regular curve $\gamma$ in $\mathbb{R}^{m+n}$, we consider the following problem: To find an $m$-dimensional developable submanifold of $\mathbb{R}^{m+n}$, that is, a ruled
Raffaelli, Matteo
core  

On quasirecurrent manifolds [PDF]

summary:We introduce a type of Riemannian manifolds (namely, quasirecurrent manifold) and study its several geometric properties. Among others, we prove that the scalar curvature of such a manifold is constant, and that the manifold is Einstein under ...
Kim, Jaeman
core   +1 more source

η-Ricci Soliton on 3-Dimensional f-Kenmotsu Manifolds [PDF]

, 2018
The object of the present paper is to carry out η-Ricci soliton on 3-dimensional regularf-Kenmotsu manifold and we turn up some geometrical results.
Chaubey, S. K., Hui, S. K., Yadav, S. K.
core   +1 more source

Torse-forming vector field with certain deformations [PDF]

Beldjilali Gherici, Bayour Benaoumeur, Bouzir Habib   +2 more
openalex   +2 more sources