Rigidity theorems for holomorphic curves in a complex Grassmann manifold G(3,6)

被引：2

作者：

Wang, Jun ^{[1
,2
]}

Fel, Jie ^{[3
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China

[2] Nanjing Normal Univ, Inst Math, Nanjing 210023, Peoples R China

[3] Xian Jiaotong Liverpool Univ, Dept Pure Math, Sch Sci, Suzhou 215123, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2021年 / 32卷 / 13期

关键词：

Rigidity; holomorphic curves; the second fundamental form; homogeneous two-spheres; complex Grassmann manifolds; HARMONIC MAPS; CONSTANT CURVATURE; MINIMAL-SURFACES; LOCAL RIGIDITY; 2-SPHERES;

D O I：

10.1142/S0129167X21500956

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove some local rigidity theorems of holomorphic curves in a complex Grassmann manifold G(3, 6) by moving frames. By applying our rigidity theorems, we also give a characterization of all homogeneous holomorphic two-spheres in G(3, 6) classified by the second author.

引用

页数：36

共 28 条

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