AN OPTIMAL INEQUALITY FOR CR-WARPED PRODUCTS IN COMPLEX SPACE FORMS INVOLVING CR δ-INVARIANT

被引：29

作者：

Chen, Bang-Yen ^{[1
]}

机构：

[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2012年 / 23卷 / 03期

关键词：

CR-warped product; optimal inequality; delta-invariant; Whitney sphere; LAGRANGIAN SUBMANIFOLDS; GEOMETRY;

D O I：

10.1142/S0129167X12500450

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a new optimal inequality for CR-warped products in complex space forms involving a CR delta-invariant. Moreover, we completely classify CR-warped product submanifolds in complex Euclidean space which satisfy the equality case of the inequality.

引用

页数：17

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