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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2002; 39(2): 253-275

Printed March 1, 2002

Copyright © The Korean Mathematical Society.

On some complete complex submanifolds in a locally symmetric Kaehler manifold

Jung-Hwan Kwon and Jin Suk Pak

Taegu University and Kyungpook National University

Abstract

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The purpose of this paper is to study complete complex submanifolds of a locally symmetric Kaehler manifold with non-positive totally real normal bisectional curvature and $k$-pinched totally real tangent bisectional curvature.

Keywords: normal bisectional curvature, $k$-pinched totally real tangent bisectional curvature, locally symmetric, Chern-type problem, proper

MSC numbers: 53C55, 53C40

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