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Lightlike submanifolds of semi-Riemannian manifolds

✍ Scribed by Aurel Bejancu; K. L. Duggal

Publisher
Springer Netherlands
Year
1995
Tongue
English
Weight
925 KB
Volume
38
Category
Article
ISSN
0167-8019

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The notion of being totally umbilic is considered for non-degenerate and degenerate submanifolds of semi-Riemannian manifolds. After some remarks on the general case, timelike and lightlike totally umbilic submanifolds of Lorentzian manifolds are discussed, along with their physical interpretation i

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Degenerate submanifolds of Semi-Riemannian manifolds are studied. The relation of the Semi-Riemannian structure of a Semi-Riemannian manifold M to the intrinsic singular Semi-Riemannian structure of a degenerate submanifold H in M is investigated. Gauss-Codazzi equations are obtained for a certain c