Bulletin of the
Korean Mathematical Society
BKMS

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

Article

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Bull. Korean Math. Soc. 1998; 35(2): 301-309

Printed June 1, 1998

Copyright © The Korean Mathematical Society.

A Liouville-type theorem for complete Riemannian manifolds

Soon Meen Choi, Jung-Hwan Kwon, and Young Jin Suh

Kyungpook National University, Taegu University, Kyungpook National University

Abstract

The purpose of this paper is to give a theorem of Liouville-type for complete Riemannian manifolds as an extension of the Theorem of Nishikawa [6].

Keywords: Liouville-type theorem, complete Riemannian manifolds, maximum principle, generalized maximum principle

MSC numbers: Primary 53C40, Secondary 53C15