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摘要: |
本文研究了三维球空间S3中等参曲面.利用活动标架法,获得了S3中关于等参曲面特征的两个结果.推广了三维欧氏空间R3和三维双曲空间中等参曲面的相关结果. |
关键词: 三维球空间 等参曲面 高斯曲率 平均曲率 |
DOI: |
分类号:O186.12 |
基金项目:本文由云南省科技厅应用基础研究青年项目基金资助(2016FD084). |
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TWO CHARACTERISTICS OF ISOPARAMETRIC SURFACE IN S3 |
FANG Jian-bo,LIANG Lin
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Abstract: |
This paper deals with the relating problem of isoparametric surfaces in threedimensional sphere space S3. By using the method of moving frame, two results associated with the characteristics of isoparametric surfaces in S3 are obtained, which generalizes the related results of three dimensional euclidean space R3 and three dimensional hyperbolic space. |
Key words: three dimensional sphere space isoparametric surface Gauss curvature the mean curvature |