On four dimensional Dupin hypersurfaces in Euclidean space
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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Main Authors: | , |
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Format: | Digital revista |
Language: | English |
Published: |
Academia Brasileira de Ciências
2003
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Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652003000100001 |
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