Lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection
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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.
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 (9)
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