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Minimal two-spheres with constant curvature in the quaternionic projective space

  • Jie Fei
  • Chiakuei Peng
  • Xiaowei XuEmail author
Articles

Abstract

In this paper we completely classify the homogeneous two-spheres, especially, the minimal homogeneous ones in the quaternionic projective space ℍℙn. According to our classification, more minimal constant curved two-spheres in ℍℙn are obtained than what Ohnita conjectured in the paper Homogeneous harmonic maps into complex projective spaces. Tokyo J Math, 1990, 13: 87–116".

Keywords

minimal two-sphere Gauss curvature quaternionic projective space 

MSC(2010)

53C42 53C55 

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Notes

Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 11471299, 11401481 and 11331002). The authors express gratitude to the referees for the helpful comments and suggestions.

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Copyright information

© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Mathematical SciencesXi′an Jiaotong-Liverpool UniversitySuzhouChina
  2. 2.School of Mathematical SciencesUniversity of Chinese Academy of SciencesBeijingChina
  3. 3.Department of MathematicsUniversity of Science and Technology of ChinaHefeiChina
  4. 4.Wu Wen-Tsun Key Laboratory of MathematicsUniversity of Science and Technology of China Chinese Academy of SciencesHefeiChina

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