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Reduction of the codimension for lightlike isotropic submanifolds

✍ Scribed by Cyriaque Atindogbe; Jean-Pierre Ezin; Joël Tossa


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
78 KB
Volume
42
Category
Article
ISSN
0393-0440

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✦ Synopsis


We 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.


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