Projective Vector Fields on Semi-Riemannian Manifolds

Projective Vector Fields on Semi-Riemannian Manifolds

This paper explores the properties of projective vector fields on semi-Riemannian manifolds. The main result establishes that if a projective vector field <i>P</i> on such a manifold is also a conformal vector field with potential function <inline-formula><math xmlns="http:...

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Bibliographic Details
Main Authors: Norah Alshehri, Mohammed Guediri
Format: Article
Language:English
Published: MDPI AG 2024-09-01
Series:Mathematics
Subjects:
semi-Riemannian manifolds
projective vector fields
conformal and Killing vector fields
Ricci curvature
Hessian
Online Access:https://www.mdpi.com/2227-7390/12/18/2914

Internet

https://www.mdpi.com/2227-7390/12/18/2914

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