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

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2020,（5）
• 页码范围: 993-1006
• 页数: 14页
• 语种: 英文

摘要

In this paper we completely classify the homogeneous two-spheres,especially,the minimal homo-geneous 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".