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

作　　者：Jie Fei Chiakuei Peng Xiaowei Xu 

机构地区：[1]Department of Mathematical Sciences,Xi’an Jiaotong-Liverpool University,Suzhou 215123,China [2]School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China [3]Department of Mathematics,University of Science and Technology of China,Hefei 230026,China [4]Wu Wen-Tsun Key Laboratory of Mathematics,University of Science and Technology of China,Chinese Academy of Sciences,Hefei 230026,China

出　　处：《Science China Mathematics》2020年第5期993-1006,共14页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11471299,11401481 and 11331002)。

摘　　要：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 HPnare obtained than what Ohnita conjectured in the paper"Homogeneous harmonic maps into complex projective spaces.Tokyo J Math,1990,13:87–116".

关 键 词：minimal two-sphere Gauss curvature quaternionic projective space 

分 类 号：O186.13[理学—数学]