Communications of the
Korean Mathematical Society
CKMS

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

Article

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Commun. Korean Math. Soc. 2013; 28(1): 163-175

Printed January 31, 2013

https://doi.org/10.4134/CKMS.2013.28.1.163

Copyright © The Korean Mathematical Society.

Einstein lightlike hypersurfaces of a Lorentzian space form with a semi-symmetric metric connection

Dae Ho Jin

Dongguk University

Abstract

In this paper, we prove a classification theorem for Einstein lightlike hypersurfaces $M$ of a Lorentzian space form $(\bar{M}(c),\,\bar{g})$ with a semi-symmetric metric connection subject such that the second fundamental forms of $M$ and its screen distribution $S(TM)$ are conformally related by some non-zero constant.

Keywords: screen homothetic, Einstein manifold, semi-symmetric metric connection

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