A rigidity theorem of -submanifolds in

被引：0
|
作者：
Li, Xingxiao [1 ]
Chang, Xiufen [1 ]
机构：
[1] Henan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
来源：
GEOMETRIAE DEDICATA | 2016年 / 185卷 / 01期
基金：
中国国家自然科学基金;
关键词：
xi-Submanifold; The second fundamental form; Mean curvature vector; Torus; MEAN-CURVATURE FLOW; SELF-SIMILAR SOLUTIONS; MASLOV CLASS;
D O I：
10.1007/s10711-016-0173-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we first introduce the concept of -submanifold which is a natural generalization of self-shrinkers for the mean curvature flow and also an extension of -hypersurfaces to the higher codimension. Then, as the main result, we prove a rigidity theorem for Lagrangian -submanifold in the complex 2-plane C-2.
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页码：155 / 169
页数：15
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