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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...

Ausführliche Beschreibung

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Bibliografische Detailangaben
Hauptverfasser: Norah Alshehri, Mohammed Guediri
Format: Artigo
Sprache:Inglês
Veröffentlicht: MDPI AG 2024-11-01
Schriftenreihe:Axioms
Schlagworte:
Online-Zugang:https://www.mdpi.com/2075-1680/13/12/835
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