CLASSFICATION OF HOMOGENEOUS TWO-SPHERES IN G(2, 5; C)

doi:10.1007/s10473-019-0123-8

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (1): 312-328.doi: 10.1007/s10473-019-0123-8

CLASSFICATION OF HOMOGENEOUS TWO-SPHERES IN G(2, 5; C)

张文娟¹, 费杰², 焦晓祥³

1. School of Science, East China University of Technology, Nanchang 330013, China;
2. Department of Mathematical Sciences, Xi'an Jiaotong-Liverpool University, Suzhou 215123, China;
3. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 101408, China

收稿日期:2016-09-18 修回日期:2018-10-22 出版日期:2019-02-25 发布日期:2019-03-13
通讯作者: Jie FEI E-mail:jie.fei@xjtlu.edu.cn
作者简介:Wenjuan ZHANG,zwj19891213@126.com;Xiaoxiang JIAO,xxjiao@ucas.ac.cn
基金资助:
The research was supported by the National Natural Science Foundation of China (11401481).

CLASSFICATION OF HOMOGENEOUS TWO-SPHERES IN G(2, 5; C)

Wenjuan ZHANG¹, Jie FEI², Xiaoxiang JIAO³

1. School of Science, East China University of Technology, Nanchang 330013, China;
2. Department of Mathematical Sciences, Xi'an Jiaotong-Liverpool University, Suzhou 215123, China;
3. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 101408, China

Received:2016-09-18 Revised:2018-10-22 Online:2019-02-25 Published:2019-03-13
Contact: Jie FEI E-mail:jie.fei@xjtlu.edu.cn
Supported by:
The research was supported by the National Natural Science Foundation of China (11401481).

摘要/Abstract

摘要： In this article, we determine all homogeneous two-spheres in the complex Grassmann manifold G(2, 5; C) by theory of unitary representations of the 3-dimensional special unitary group SU(2).

关键词: homogeneous immersion, Gauss curvature, Kähler angle, rigidity

Abstract: In this article, we determine all homogeneous two-spheres in the complex Grassmann manifold G(2, 5; C) by theory of unitary representations of the 3-dimensional special unitary group SU(2).

Key words: homogeneous immersion, Gauss curvature, Kähler angle, rigidity

张文娟, 费杰, 焦晓祥. CLASSFICATION OF HOMOGENEOUS TWO-SPHERES IN G(2, 5; C)[J]. 数学物理学报(英文版), 2019, 39(1): 312-328.

Wenjuan ZHANG, Jie FEI, Xiaoxiang JIAO. CLASSFICATION OF HOMOGENEOUS TWO-SPHERES IN G(2, 5; C)[J]. Acta mathematica scientia,Series B, 2019, 39(1): 312-328.

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CLASSFICATION OF HOMOGENEOUS TWO-SPHERES IN G(2, 5; C)

CLASSFICATION OF HOMOGENEOUS TWO-SPHERES IN G(2, 5; C)

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