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.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Digital revista |
| Language: | English |
| Published: |
Academia Brasileira de Ciências
2003
|
| Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652003000100001 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|