Contact CR-warped product submanifolds in Sasakian space forms

被引：45
|
作者：
Mihai, I [1 ]
机构：
[1] Univ Bucharest, Dept Math, Bucharest 70109, Romania
来源：
GEOMETRIAE DEDICATA | 2004年 / 109卷 / 01期
关键词：
contact CR-submanifold; warped product; Sasakian manifold; Sasakian sace form; geometric inequalities;
D O I：
10.1007/s10711-004-5459-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Recently, B.-Y. Chen studied warped products which are CR-submanifolds in Kaehler manifolds and established general sharp inequalities for CR-warped products in Kaehler manifolds. Afterwards, I. Hasegawa and the present author obtained a sharp inequality for the squared norm of the second fundamental form (an extrinsic invariant) in terms of the warping function for contact CR-warped products isometrically immersed in Sasakian manifolds. In this paper, we improve the above inequality for contact CR-warped products in Sasakian space forms. Some applications are derived. A classification of contact CR-warped products in spheres, which satisfy the equality case, identically, is given.
引用
收藏
页码：165 / 173
页数：9
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