Space-times admitting a quasi-concurrent Debrever's vector
type: Item
instance of: scholarly article
title: Space-times admitting a quasi-concurrent Debrever's vector
zbMATH Open document ID: 0810.53053
author: Franca Vozza
author: Santi Donato
published in: Ricerche di Matematica
publication date: 1995-04-09T00:00:00Z
review text: On preuve le théorème: Soit \(\{\widetilde {M}, \widetilde {g}\}\) un espace-temps portant un vecteur de Debever \(\{h_ 4\}_ D\) qui est quasi-concourant. Alors on a les propriétés suivantes: i) La congruence de Debever \(\{h_ 4\}_ D\) est géodésique, sans distorsion et sans rotation; ii) \(\widetilde {M}\) est feuilletée par des hypersurfaces coïsotropes presque ombilicales, ayant pour vecteur caractéristique le vecteur de Debever; iii) \(\widetilde{M}\) est feuilletée par des surfaces self-orthogonales qui sont improprement géodésique dans \(M\).
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 53C80
zbMATH DE Number: 624777
zbMATH Keywords: quasi-concurrent Debever's vector
zbMATH Keywords: Debever's congruence
zbMATH Keywords: soldering form
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 624777