GEOMETRY OF HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN SPACE FORM WITH A SEMI-SYMMETRIC METRIC CONNECTION

Abstract

We study the geometry of half lightlike sbmanifolds M of a semi-Riemannian space form (cid:102)M (c) admitting a semi-symmetric metric connection subject to the conditions: (1) The screen distribution S(T M ) is totally umbilical (geodesic) and (2) the co-screen distribution S(T M ⊥) of M is a conformal Killing one.

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