文章基本信息

标题：On contact CR-submanifolds of sasakian manifolds
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作者：Koji Matsumoto
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：1983
卷号：6
期号：2
页码：313-326
DOI：10.1155/S0161171283000277
出版社：Hindawi Publishing Corporation
摘要：
Recently, K.Yano and M.Kon [5] have introduced the notion of a contact C R -submanifold of a Sasakian manifold which is closely similar to the one of a C R -submanifold of a Kaehlerian manifold defined by A. Bejancu [1].
In this paper, we shall obtain some fundamental properties of contact C R -submanifolds of a Sasakian manifold. Next, we shall calculate the length of the second fundamental form of a contact C R -product of a Sasakian space form (THEOREM 7.4). At last, we shall prove that a totally umbilical contact C R -submanifold satisfying certain conditions is totally geodesic in the ambient manifold (THEOREM 8.1).