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http://dx.doi.org/10.4134/CKMS.c160008

INTEGRAL CURVES OF THE CHARACTERISTIC VECTOR FIELD ON CR-SUBMANIFOLDS OF MAXIMAL CR-DIMENSION  

Kim, Hyang Sook (Department of Applied Mathematics Institute of Basic Science Inje University)
Pak, Jin Suk (Kyungpook National University)
Publication Information
Communications of the Korean Mathematical Society / v.32, no.1, 2017 , pp. 107-118 More about this Journal
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;
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