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arXiv · 1806.08483

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

Jie Fei·Chiakuei Peng·Xiaowei Xu
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Abstract

In this paper we completely classify the homogeneous two-spheres, especially, the minimal homogeneous ones in the quaternionic projective space $\textbf{HP}^n$. According to our classification, more minimal constant curved two-spheres in $\textbf{HP}^n$ are obtained than Ohnita conjectured in the paper "Homogeneous harmonic maps into projective space, Tokyo J Math, 1990, 13(1): 87-116".

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Jie Fei, Chiakuei Peng, Xiaowei Xu. 2018-06-22. Minimal two-spheres with constant curvature in the quaternionic projective space. https://arxiv.org/abs/1806.08483

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