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.
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页数：36
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