Isoparametric hypersurfaces with (g;m) = (6;2)

Isoparametric hypersurfaces with (g;m) = (6;2)
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DOI:
10.4007/annals.2013.177.1.2
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发表时间:
2013
影响因子:
4.9
通讯作者:
R. Miyaoka
R. Miyaoka
中科院分区:
数学1区
文献类型:
--
作者:
R. Miyaoka

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证明了(g;m)=(6; 2)的等参超曲面是齐次的,从而回答了Dorfmeister-Neher猜想,解决了在g = 6时的Yau问题.
We prove that isoparametric hypersurfaces with (g;m) = (6; 2) are homogeneous, which answers Dorfmeister-Neher’s conjecture armatively and solves Yau’s problem in the case g = 6.