On four dimensional Dupin hypersurfaces in Euclidean space

被引：0
作者：
Riveros, CMC [1 ]
Tenenblat, K [1 ]
机构：
[1] UNB, Dept Matemat, IE, BR-70910900 Brasilia, DF, Brazil
来源：
ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS | 2003年 / 75卷 / 01期
关键词：
Dupin hypersurfaces; Laplace invariants; lines of curvature; principal curvatures;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Dupin hypersurfaces in five dimensional Euclidean space parametrized by lines of curvature, with four distinct principal curvatures, are considered. A generic family of such hypersurfaces is locally characterized in terms of the principal curvatures and four vector valued functions of one variable. These functions are invariant by inversions and homotheties.
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页码：1 / 7
页数：7
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