Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2017; 32(1): 107-118

Online first article October 5, 2016      Printed January 31, 2017

https://doi.org/10.4134/CKMS.c160008

Copyright © The Korean Mathematical Society.

Integral curves of the characteristic vector field on $CR$-submanifolds of maximal $CR$-dimension

Hyang Sook Kim and Jin Suk Pak

Inje University, Kyungpook National University

Abstract

In this paper we study $CR$-submanifolds of maximal $CR$-dimension by investigating extrinsic behaviors of integral curves of characteristic vector field on them. Also we consider the notion of ruled $CR$-submanifold of maximal $CR$-dimension which is a generalization of that of ruled real hypersurface and find some characterizations of ruled $CR$-submanifold of maximal $CR$-dimension concerning extrinsic shapes of integral curves of the characteristic vector field and those of $CR$-Frenet curves.

Keywords: nonflat complex space form, $CR$-submanifold of maximal $CR$-dimension, characteristic vector filed, integral curve

MSC numbers: 53C40, 53C25

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