New Properties on Normalized Null Hypersurface

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AuteurATINDOGBE, COMLAN CYRIAQUE
AuteurHOUNNONKPE, RAYMOND
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2018
ResumeRigging technique introduced in Gutiérrez and Olea (Math Nachr 289:1219–1236, 2016) is a convenient way to address the study of null hypersurfaces. It offers, in addition, the extra benefit of inducing a Riemannian structure on the null hypersurface which is used to study geometric and topological properties on it. In this paper, we develop this technique showing new properties and applications. We first discuss the very existence of the rigging fields under prescribed geometric and topological constraints. We consider the completeness of the induced rigged Riemannian structure. This is potentially important, because it allows to use most of the usual Riemannian techniques.
DOI10.1007/s00009-018-1210-0
Autre identifiantBECDB-10233
URIhttps://dspace.uac.bj/handle/123456789/9094
Languefr
Fait partie deMediterranean Journal of Mathematics
SujetLorentzian manifolds
SujetNull hypersurface
Sujetnormalization
Sujetrigging vector field
Sujetrigged vector field
Sujetcompleteness
TitreNew Properties on Normalized Null Hypersurface
TypeArticle

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