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

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

1. Introduction

2. Semi-symmetric metric connection

3. Totally umbilical screen distributions

4. Totally geodesic screen distributions

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