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.
Hyang Sook Kim and Jin Suk Pak
Inje University, Kyungpook National University
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
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd