Ricci Solitons on Riemannian Hypersurfaces Generated by Torse-Forming Vector Fields in Riemannian and Lorentzian Manifolds

Ricci Solitons on Riemannian Hypersurfaces Generated by Torse-Forming Vector Fields in Riemannian and Lorentzian Manifolds

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. Next, we f...

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Bibliographic Details
Main Authors: Norah Alshehri, Mohammed Guediri
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Axioms
Subjects:
Riemannian hypersurfaces
Riemannian and Lorentzian manifolds
torse-forming vector fields
Ricci soliton
Einstein manifolds
extrinsic spheres
Online Access:https://www.mdpi.com/2075-1680/14/5/325
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