Reduction of the co dimension of Lightlike Isotropic Submanifolds.

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AuteurATINDOGBE, COMLAN CYRIAQUE
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2002
ResumeWe give a sufficient condition for a lightlike isotropic submanifold M, of dimension n, which is not totally geodesic in a semi-Riemannian manifold of constant curvature c and of dimension n + p(n < p), to admit a reduction of codimension. We show that this condition is a necessary and sufficient condition on the first transversal space of M. There are basic and non-trivial differences from the Riemannian case, as developed by Dajczer et al. [Mathematics Lectures Series, Vol. 13, 1990], due to the degenerate metric on M. This result extends in some sense, the one in [J. Diff. Geom. 5 (1971) 333; Topology 25 (4) (1986) 541; Mathematics Lectures Series, Vol. 13, 1990] to lightlike isotropic submanifolds.
Autre identifiantBECDB-5005
URIhttps://dspace.uac.bj/handle/123456789/4681
Languefr
Fait partie deJournal of Geometry and Physics
SujetSemi-Riemannian manifolds
SujetLightlike isotropic submanifolds
SujetScreen distribution on degenerate
Sujetsubmanifold
SujetReduction of codimension
TitreReduction of the co dimension of Lightlike Isotropic Submanifolds.
TypeArticle

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