Acta mathematica scientia,Series B ›› 2019, Vol. 39 ›› Issue (1): 312-328.doi: 10.1007/s10473-019-0123-8

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

Wenjuan ZHANG1, Jie FEI2, Xiaoxiang JIAO3   

  1. 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).

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

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