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학술저널

LIGHTLIKE HYPERSURFACES WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS

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In this paper, we study the geometry of lightlike hyper-surfaces of a semi-Riemannian manifold. We prove a classi¯cation theorem for lightlike hypersurfaces M with totally umbilical screen distributions of a semi-Riemannian space form.

1. Introduction

2. Totally umbilical screen distributions

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