DUPIN HYPERSURFACES WITH 3 PRINCIPAL CURVATURES

Authors
CECIL TE JENSEN GR
Citation
Te. Cecil et Gr. Jensen, DUPIN HYPERSURFACES WITH 3 PRINCIPAL CURVATURES, Inventiones Mathematicae, 132(1), 1998, pp. 121-178
Citations number
21
Categorie Soggetti
Mathematics,Mathematics
Journal title
Inventiones Mathematicae → ACNP
ISSN journal
00209910
Volume
132
Issue
1
Year of publication
1998
Pages
121 - 178
Database
ISI
SICI code
0020-9910(1998)132:1<121:DHW3PC>2.0.ZU;2-C
Abstract
Using the method of moving frames, we prove that any locally irreducib le Dupin hypersurface in S-n with three distinct principal curvatures is equivalent by Lie sphere transformation to an isoparametric hypersu rface in S-n.