A classification of half lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection
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In this paper, we study the geometry of half lightlike submanifolds M of a semi-Riemannian manifold fM with a semi-symmetric non-metric connection subject to the conditions; (1) the characteristic vector field of fM is tangent to M, the screen distribution on M is totally umbilical in M and the co-screen distribution on M is conformal Killing, or (2) the screen distribution is integrable and the local lightlike second fundamental form of M is parallel.
Abstract
In this paper, we study the geometry of half lightlike submanifolds M of a semi-Riemannian manifold fM with a semi-symmetric non-metric connection subject to the conditions; (1) the characteristic vector field of fM is tangent to M, the screen distribution on M is totally umbilical in M and the co-screen distribution on M is conformal Killing, or (2) the screen distribution is integrable and the local lightlike second fundamental form of M is parallel.
참고문헌 (14)
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