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Minimal two-spheres with constant curvature in the quaternionic projective space |
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| Authors: | Fei Jie Peng Chiakuei Xu Xiaowei |
| Institution: | 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 ; |
| Abstract: | In this paper we completely classify the homogeneous two-spheres, especially, the minimal homogeneous ones in the quaternionic projective space ??n. According to our classification, more minimal constant curved two-spheres in ??n 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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