A Problem of Hsiang-Palais-Terng on isoparametric submanifolds
Differential Geometry
2007-05-23 v1 Algebraic Topology
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 R^{52} whose marked Dynkin giagram is of type D_4 and with all multiplicities uniformly equal to 4?
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Cite
@article{arxiv.math/0312251,
title = {A Problem of Hsiang-Palais-Terng on isoparametric submanifolds},
author = {Haibao Duan},
journal= {arXiv preprint arXiv:math/0312251},
year = {2007}
}
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10 pages