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

4 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

Cite this

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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 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{"}.",

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AU - Peng, Chiakuei

AU - Xu, Xiaowei

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Y1 - 2020/5/1

N2 - 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".

AB - 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".

KW - 53C42

KW - 53C55

KW - Gauss curvature

KW - minimal two-sphere

KW - quaternionic projective space

UR - https://www.scopus.com/pages/publications/85060932718

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DO - 10.1007/s11425-018-9348-y

M3 - Article

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JO - Science China Mathematics

JF - Science China Mathematics

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ER -

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

Abstract

Keywords

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