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(3): 647-653

Printed May 1, 2012

https://doi.org/10.4134/BKMS.2012.49.3.647

Copyright © The Korean Mathematical Society.

A generalization of the Lorentzian splitting theorem

Jong-Gug Yun

Korea National University of Education

Abstract

In this paper, we obtain a generalized Lorentzian splitting theorem by weakening the assumption of nonnegative Ricci curvature.

Keywords: splitting theorem, maximum principle

MSC numbers: Primary 53C20; Secondary 57S20