S^3中等参曲面的两个特征  

TWO CHARACTERISTICS OF ISOPARAMETRIC SURFACE IN S^3

作　　者：方建波 梁林[2] FANG Jian-bo;LIANG Lin(School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550025,China;Personnel Division,Chuxiong Normal University,Chuxiong 675000,China)

机构地区：[1]贵州财经大学数学与统计学院,贵州贵阳550025 [2]楚雄师范学院人事处,云南楚雄675000

出　　处：《数学杂志》2020年第4期446-450,共5页Journal of Mathematics

基　　金：云南省科技厅应用基础研究青年项目基金资助(2016FD084).

摘　　要：本文研究了三维球空间S^3中等参曲面.利用活动标架法,获得了S^3中关于等参曲面特征的两个结果.推广了三维欧氏空间R^3和三维双曲空间中等参曲面的相关结果.This paper deals with the relating problem of isoparametric surfaces in threedimensional sphere space S^3.By using the method of moving frame,two results associated with the characteristics of isoparametric surfaces in S^3 are obtained,which generalizes the related results of three dimensional euclidean space R^3 and three dimensional hyperbolic space.

关 键 词：三维球空间 等参曲面 高斯曲率 平均曲率 

分 类 号：O186.12[理学—数学]