|
|||||
|
|
Dupin Hypersurfaces with Four Principal Curvatures |
|
| Authors: | Thomas E Cecil Gary R Jensen |
| Institution: | (1) Department of Mathematics, College of the Holy Cross, Worcester, MA, 01610-2395, U.S.A.;(2) Department of Mathematics, Washington University, Campus Box 1146, St. Louis, MO, 63130, U.S.A. |
| Abstract: | Using the method of moving frames, we prove that any irreducible Dupin hypersurface in S 5 with four distinct principal curvatures and constant Lie curvature is equivalent by Lie sphere transformation to an isoparametric hypersurface in S 5. |
| Keywords: | Lie sphere geometry Lie curvature isoparametric hypersurface Legendre submanifold curvature sphere Dupin hypersurface Dupin submanifold |
| 本文献已被 SpringerLink 等数据库收录！ | |