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

Jie Fei; Chiakuei Peng; Xiaowei Xu

doi:10.1007/s11425-018-9348-y

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

Jie Fei, Chiakuei Peng, Xiaowei Xu^*

^*Corresponding author for this work

Department of Pure Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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".

Original language	English
Pages (from-to)	993-1006
Number of pages	14
Journal	Science China Mathematics
Volume	63
Issue number	5
DOIs	https://doi.org/10.1007/s11425-018-9348-y
Publication status	Published - 1 May 2020

Keywords

53C42
53C55
Gauss curvature
minimal two-sphere
quaternionic projective space

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10.1007/s11425-018-9348-y

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KW - 53C42

KW - 53C55

KW - Gauss curvature

KW - minimal two-sphere

KW - quaternionic projective space

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

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Keywords

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