Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 1999; 36(6): 1145-1168

Printed November 1, 1999

Copyright © The Korean Mathematical Society.

Space-like complex submanifolds of an indefinite Kahler manifold

Jung-Hwan Kwon, Yong-Soo Pyo, and Kyoung-Hwa Shin

Abstract

The purpose of this paper is to study the complete submanifolds with restricted space-like and time-like holomorphic bisectional curvatures in an indefinite locally symmetric K\"ahler manifold.

Keywords: space-like complex submanifold, space-like or time-like holomorphic bisectional curvature, locally symmetric, indefinite K\"ahler manifold, Chern-type problem

MSC numbers: 53C50, 53C40