Pinching for holomorphic curves in a complex Grassmann manifold G(2, n; C)

被引：3

作者：

Wang, Jun ^{[1
,2
]}

Fei, Jie ^{[3
]}

Xu, Xiaowei ^{[4
,5
]}

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, Sch Sci, Dept Pure Math, Suzhou 215123, Peoples R China

[4] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China

[5] USTC, Wu Wen Tsun Key Lab Math, Chinese Acad Sci, Hefei 230026, Anhui, Peoples R China

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2022年 / 80卷

关键词：

Complex Grassmann manifolds; Holomorphic curves; Pinching; Second fundamental form; LOCAL RIGIDITY; HOMOGENEOUS; 2-SPHERES; CONSTANT CURVATURE; MINIMAL; CLASSIFICATION; SURFACES;

D O I：

10.1016/j.difgeo.2021.101840

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a Simons' inequality about holomorphic curves immersed into a complex Grassmann manifold G(k, n; C), and we characterize all the pinched holomorphic curves in G(2, n; C) when the second fundamental form satisfies a pinching condition.(c) 2021 Elsevier B.V. All rights reserved.

引用

页数：15

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