Results 21 to 30 of about 125 (89)

Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci‐Yamabe Metric

Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 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. Furthermore, if the potential vector field ξ of the Ricci‐Yamabe soliton is of the gradient type, the Laplace‐Poisson equation is derived.
Ali H. Alkhaldi, Mohd Danish Siddiqi, Meraj Ali Khan, Lamia Saeed Alqahtani, Remi Léandre   +4 more
wiley   +1 more source

Characterization of Skew CR‐Warped Product Submanifolds in Complex Space Forms via Differential Equations

Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
Recently, we have obtained Ricci curvature inequalities for skew CR‐warped product submanifolds in the framework of complex space form. By the application of Bochner’s formula on these inequalities, we show that, under certain conditions, the base of these submanifolds is isometric to the Euclidean space.
Ibrahim Al-Dayel, Meraj Ali Khan, Bosheng Song   +2 more
wiley   +1 more source

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

Journal of Mathematics, Volume 2021, Issue 1, 2021., 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). Finally, a nontrivial example is provided to confirm some of our results.
Sunil Kumar Yadav, D. L. Suthar, Biniyam Shimelis, Ram Jiwari   +3 more
wiley   +1 more source

Study of Differential Equations on Warped Product Semi‐Invariant Submanifolds of the Generalized Sasakian Space Forms

Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021
The purpose of the present paper is to study the applications of Ricci curvature inequalities of warped product semi‐invariant product submanifolds in terms of some differential equations. More precisely, by analyzing Bochner’s formula on these inequalities, we demonstrate that, under certain conditions, the base of these submanifolds is isometric to ...
Ibrahim Al-Dayel, Meraj Ali Khan
wiley   +1 more source

A Study of Generalized Projective P−Curvature Tensor on Warped Product Manifolds

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
The main aim of this study is to investigate the effects of the P−curvature flatness, P−divergence‐free characteristic, and P−symmetry of a warped product manifold on its base and fiber (factor) manifolds. It is proved that the base and the fiber manifolds of the P−curvature flat warped manifold are Einstein manifold.
Uday Chand De, Abdallah Abdelhameed Syied, Nasser Bin Turki, Suliman Alsaeed, Antonio Masiello   +4 more
wiley   +1 more source

Study on Twisted Product Almost Gradient Yamabe Solitons

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this paper, we first study gradient Yamabe solitons on the twisted product spaces. Then, we classify and characterize the warped product and twisted product spaces with almost gradient Yamabe solitons. We also study the construction of almost gradient Yamabe solitons in the Riemannian product spaces.
Byung Hak Kim, Jin Hyuk Choi, Sang Deok Lee, Antonio Masiello   +3 more
wiley   +1 more source

A simple characterization of doubly twisted spacetimes [PDF]

, 2021
In this note, we characterize 1+n doubly twisted spacetimes in terms of “doubly torqued” vector fields. They extend Bang–Yen Chen’s characterization of twisted and generalized Robertson–Walker spacetimes with torqued and concircular vector fields.
Carlo Alberto Mantica, Luca Guido Molinari   +1 more
core   +1 more source

Some Properties of Generalized Einstein Tensor for a Pseudo‐Ricci Symmetric Manifold

Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020
The object of the paper is to study some properties of the generalized Einstein tensor G(X, Y) which is recurrent and birecurrent on pseudo‐Ricci symmetric manifolds (PRS)n. Considering the generalized Einstein tensor G(X, Y) as birecurrent but not recurrent, we state some theorems on the necessary and sufficient conditions for the birecurrency tensor ...
S. Aynur Uysal, Hülya Bağdatlı Yılmaz, Stephen C. Anco   +2 more
wiley   +1 more source

Investigation of some special tensor fields on space-times with holonomy algebras

, 2023
This paper studies the concircular, projective and conharmonic curvature tensors on $4-$dimensional Lorentzian manifolds known as space-times. We obtain some properties of these tensor fields by relating the known holonomy algebras for Lorentz signature $
Toplu, Ramazan, Kılınç, Cihat, Kırık Rácz, Bahar   +2 more
core   +1 more source

$\phi({\rm Ric})$-vector fields in Riemannian spaces

, 2008
summary:In this paper we study vector fields in Riemannian spaces, which satisfy $\nabla \varphi =\mu $, ${\textbf{Ric}}$, $\mu =\mbox {const.}$ We investigate the properties of these fields and the conditions of their coexistence with concircular vector
Kiosak, Volodymyr A., Hinterleitner, Irena   +1 more
core   +1 more source