A Problem of Hsiang-Palais-Terng on isoparametric submanifolds

2003/12/12 by Haibao Duan, Duan, Haibao
Mathematics · #53C42 (14M15 #57R20) #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #math.AT #math.DG #msc:53C42

paper · pdf · doi:10.48550/arxiv.math/0312251

10 pages

arxiv created 2003/12/12 · arxiv updated 2009/12/01

Abstract

We solve the problem raised by Hsiang, Palais and Terng in [The topology of isoparametric submanifolds, JDG, 27(1988), 423-460]: Is it possible to have an isoparametric foliation on R⁵² whose marked Dynkin giagram is of type D₄ and with all multiplicities uniformly equal to 4?

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