Characterizing Affine Vector Fields on Pseudo-Riemannian Manifolds

We study the characteristics of affine vector fields on pseudo-Riemannian manifolds and provide tensorial formulas that characterize these vector fields. Using our approach, we present a straightforward proof that any affine vector field on a compact Riemannian manifold is a Killing vector field. Mo...

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Autors principals:	Norah Alshehri, Mohammed Guediri
Format:	Artigo
Idioma:	Inglês
Publicat:	MDPI AG 2024-11-01
Col·lecció:	Axioms
Matèries:	affine, killing, and parallel vector fields geodesic vector fields Laplacian Hessian Bochner formula
Accés en línia:	https://www.mdpi.com/2075-1680/13/12/835
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