A Problem of Hsiang-Palais-Terng on isoparametric submanifolds

Details A Problem of Hsiang-Palais-Terng on isoparametric submanifolds A Problem of Hsiang-Palais-Terng on isoparametric submanifolds

2003-12-12

arxiv.org/abs/math/0312251v1

Mathematics

Differential Geometry

10 pages

Scientific paper

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 R^{52} whose marked Dynkin giagram is of type D_4
and with all multiplicities uniformly equal to 4?

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