IJPAM: Volume 74, No. 2 (2012)
GEOMETRY OF LIGHTLIKE HYPERSURFACES IN
INDEFINITE
-MANIFOLDS
INDEFINITE

Jae Won Lee
Institute of Mathematics
Academia Sinica
Taipei, 10617, TAIWAN
Institute of Mathematics
Academia Sinica
Taipei, 10617, TAIWAN
Abstract. We study the geometry of lightlike hypersurfaces of an indefinite -manifold. The main result is to prove two characterization theorems for such a lightlike hypersurface. In additon to these main theorems, we study the geometry of totally umbilical lightlike hypersurfaces of an indefinite
-manifold.
Received: August 15, 2011
AMS Subject Classification: 53C10, 53C40, 53C50
Key Words and Phrases: characteristic vector fields, indefinite -manifold, totally umbilical
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 74
Issue: 2