Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2012; 49(6): 1163-1178

Printed November 30, 2012

https://doi.org/10.4134/BKMS.2012.49.6.1163

Copyright © The Korean Mathematical Society.

Einstein half lightlike submanifolds with special conformalities

Dae Ho Jin

Dongguk University

Abstract

In this paper, we study the geometry of Einstein half lightlike submanifolds $M$ of a semi-Riemannian space form $\bar{M}(c)$ subject to the conditions: (a) $M$ is screen conformal, and (b) the coscreen distribution of $M$ is a conformal Killing one. The main result is a classification theorem for screen conformal Einstein half lightlike submanifolds of a Lorentzian space form with a conformal Killing coscreen distribution.

Keywords: half lightlike submanifold, screen conformal, conformal Killing distribution

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