Isoparametric hypersurfaces with $(g,m)=(6,2)$

Pages 53-110 from Volume 177 (2013), Issue 1 by Reiko Miyaoka

Abstract

We prove that isoparametric hypersurfaces with $(g,m)=(6,2)$ are homogeneous, which answers Dorfmeister-Neher’s conjecture affirmatively and solves Yau’s problem in the case $g=6$.

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Keywords
,
DOI
https://doi.org/10.4007/annals.2013.177.1.2
MR
2999038
zbMATH
06146417
Milestones
Received: 28 June 2009
Revised: 15 January 2012
Accepted: 1 March 2012
Published online: 1 January 2013

Authors

Reiko Miyaoka

Mathematical Institute, Tohoku University, Sendai 980-8578, Japan