期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1995
卷号：18
DOI：10.1155/S0161171295000421
出版社：Hindawi Publishing Corporation
摘要：The study of CR-submanifolds of a Kähler manifold was
initiated by Bejancu [1]. Since then many papers have appeared on
CR-submanifolds of a Kähler manifold. Also, it has been studied that
generic submanifolds of Kähler manifolds [2] are generalisations of
holomorphic submanifolds, totally real submanifolds and
CR-submanifolds of Kähler manifolds. On the other hand, many examples
C2 of generic surfaces in which are not CR-submanifolds have been
given by Chen [3] and this leads to the present paper where we obtain
some necessary conditions for a generic submanifolds in a locally
conformal Kähler manifold with four canonical strucrures, denoted by
P, F, t and f, to have parallel P, F and t. We also prove that for a
generic submanifold of a locally conformal Kähler manifold, F is
parallel iff t is parallel.
