Journal of the
Korean Mathematical Society
JKMS

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

Article

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J. Korean Math. Soc. 1997; 34(2): 437-452

Printed June 1, 1997

Copyright © The Korean Mathematical Society.

Low type pseudo-riemannian submanifolds

Young Ho Kim

Kyungpook National University

Abstract

We study low type submanifolds in pseudo-Euclidean space which is especially of 2-type pseudo-umbilical. We also determine full null 2-type surfaces with parallel mean curvature vector in 4-dimensional Minkowski space-time.

Keywords: pseudo-Riemannian submanifolds, pseudo-Euclidean spaces, finite-type, pseudo-umbilical submanifolds

MSC numbers: 53C40