Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2010; 25(3): 443-450

Printed September 1, 2010

https://doi.org/10.4134/CKMS.2010.25.3.443

Copyright © The Korean Mathematical Society.

Lightlike real hypersurfaces with totally umbilical screen distributions

Dae Ho Jin

Dongguk University

Abstract

In this paper, we study the geometry of lightlike real hypersurfaces of an indefinite Kaehler manifold. The main result is a characterization theorem for lightlike real hypersurfaces $M$ of an indefinite complex space form $\bar{M}(c)$ such that the screen distribution is totally umbilic.

Keywords: lightlike real hypersurface, totally umbilical distribution, indefinite complex space form

MSC numbers: Primary 53C25, 53C40, 53C50

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