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

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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Authors

Reiko Miyaoka

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