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等参数子流形及其管状超曲面的分裂定理
引用本文:蔡恒伍.等参数子流形及其管状超曲面的分裂定理[J].厦门大学学报(自然科学版),1991,30(2):143-146.
作者姓名:蔡恒伍
作者单位:厦门大学数学系
摘    要:利用法丛的点型分类以及Terng(藤楚莲)的流形的特征分布理论得到了浸入子流形及其管状扭曲面的一些性质,特别是等参数子流形及其管状超曲面的分裂定理。

关 键 词:等参数  子流形  分裂定理  特征分布

The Splitting Theorem for Isoparametric Submanifolds and Their Tubular Hypersurfaces
Cai Hengwu.The Splitting Theorem for Isoparametric Submanifolds and Their Tubular Hypersurfaces[J].Journal of Xiamen University(Natural Science),1991,30(2):143-146.
Authors:Cai Hengwu
Institution:Dept.of Math.
Abstract:by using the classification of point-type for normal bundle and the theory of eigen-distributlon of manifolds of Terng C L,it is obtained that some properties between immersed submani-folds and their tubular hypersurfaces, especially, the splitting theorem for isoparametric aubmanifolds and their tubular hypersurfaces.
Keywords:Generalized Dupin indicatrix  Eigendistributions  Splitting theorem
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