Lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection

다국어 초록 (Multilingual Abstract)

We study the geometry of r-lightlikesubmanifolds M of a semi-Riemannian manifold -M with asemi-symmetric non-metric connection subject to the conditions;(a) the screen distribution of M is totally geodesic in M, and (b) at least one among the r-th lightlike second fundamentalforms is parallel with respect to the induced connection of M.
The main result is a classification theorem for irrotational r-lightlike submanifold of a semi-Riemannian manifold of index r admitting a semi-symmetric non-metric connection.

참고문헌 (Reference)

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