Dupin hypersurfaces with three principal curvatures |
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| Authors: | Thomas E Cecil Gary R Jensen |
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| Institution: | (1) Department of Mathematics, College of the Holy Cross, Worcester, MA 01610-2395, USA (e-mail: cecil@math.holycross.edu), US;(2) Department of Mathematics, Campus Box 1146, Washington University, St.␣Louis, MO 63130, USA (e-mail: gary@math.wustl.edu), US |
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| Abstract: | Using the method of moving frames, we prove that any locally irreducible Dupin hypersurface in S
n
with three distinct principal curvatures is equivalent by Lie sphere transformation to an isoparametric hypersurface in S
n
.
Oblatum VI-1995 & 28-IV-1997 |
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| Keywords: | |
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