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....

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Bibliographic Details
Main Authors: CARLOS M. C. RIVEROS, KETI TENENBLAT
Format: Article
Language:English
Published: Academia Brasileira de Ciências 2003-03-01
Series:Anais da Academia Brasileira de Ciências
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652003000100001