| 四元数射影空间中具有常平均曲率的全实子流形 |
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| 引用本文： | 程丽鹃,朱业成,王佳慧. 四元数射影空间中具有常平均曲率的全实子流形[J]. 华中师范大学学报(自然科学版), 2022, 56(6): 917-821 |
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| 作者姓名： | 程丽鹃 朱业成 王佳慧 |
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| 作者单位： | 安徽工业大学数理科学与工程学院,安徽马鞍山243032;安徽工业大学数理科学与工程学院,安徽马鞍山243032;南开大学陈省身数学研究所,天津300071 |
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| 摘 要： | 采用活动标架法，该文研究了四元数射影空间中具有常平均曲率的全实子流形，并且得到了一些pinching定理.这些定理推广和改进了四元数射影空间中全实极小子流形的相关结论.
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| 关 键 词： | 全实子流形 常平均曲率 四元数射影空间 |
Totally real submanifolds with constant mean curvature in a quaternion projective space |
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| CHENG Lijuan,ZHU Yecheng,WANG Jiahui. Totally real submanifolds with constant mean curvature in a quaternion projective space[J]. Journal of Central China Normal University(Natural Sciences), 2022, 56(6): 917-821 |
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| Authors: | CHENG Lijuan ZHU Yecheng WANG Jiahui |
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| Affiliation: | (1.School of Mathematics & Physics， Anhui University of Technology， Ma’anshan 243032，Anhui， China；2.Chern Institute of Mathematics， Nankai University， Tianjin 300071， China) |
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| Abstract: | In this paper， totally real submanifolds with constant mean curvature in a quaternion projective space is studied by the method of moving frames and some pinching theorems are obtained. Then the results of totally real minimal submanifolds in a quaternion projective space are extended and improved. |
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| Keywords: | totally real submanifolds constant mean curvature quaternion projective space |
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