Minimal two-spheres with constant curvature in the quaternionic projective space
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".
Keywordsminimal two-sphere Gauss curvature quaternionic projective space
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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.