Abstract
We give a correction of the proof of the homogeneity of isoparametric hypersurfaces with $(g,m)=(6,2)$.
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[M0]
R. Miyaoka, "The linear isotropy group of $G_2/{ SO}(4)$, the Hopf fibering and isoparametric hypersurfaces," Osaka J. Math., vol. 30, iss. 2, pp. 179-202, 1993.@article{M0, mrkey = {1233508},
author = {Miyaoka, Reiko},
title = {The linear isotropy group of {$G\sb 2/{\rm SO}(4)$},
the {H}opf fibering and isoparametric hypersurfaces},
journal = {Osaka J. Math.},
fjournal = {Osaka Journal of Mathematics},
volume = {30},
year = {1993},
number = {2},
pages = {179--202},
issn = {0030-6126},
coden = {OJMAA7},
mrclass = {53C42 (53C40)},
mrnumber = {1233508},
mrreviewer = {Thomas E. Cecil},
zblnumber = {0815.53070},
url = {http://projecteuclid.org/euclid.ojm/1200784357},
} -
[M2] R. Miyaoka, "The Dorfmeister-Neher theorem on isoparametric hypersurfaces," Osaka J. Math., vol. 46, iss. 3, pp. 695-715, 2009.
@article{M2, mrkey = {2583325},
author = {Miyaoka, Reiko},
title = {The {D}orfmeister-{N}eher theorem on isoparametric hypersurfaces},
journal = {Osaka J. Math.},
fjournal = {Osaka Journal of Mathematics},
volume = {46},
year = {2009},
number = {3},
pages = {695--715},
issn = {0030-6126},
coden = {OJMAA7},
mrclass = {53C40 (53C42)},
mrnumber = {2583325},
mrreviewer = {Thomas E. Cecil},
zblnumber = {05644233},
url = {http://projecteuclid.org/euclid.ojm/1256564202},
} -
[M1] R. Miyaoka, "Isoparametric hypersurfaces with $(g,m)=(6,2)$," Ann. of Math., vol. 177, iss. 1, pp. 53-110, 2013.
@article{M1, mrkey = {2999038},
author = {Miyaoka, Reiko},
title = {Isoparametric hypersurfaces with {$(g,m)=(6,2)$}},
journal = {Ann. of Math.},
fjournal = {Annals of Mathematics. Second Series},
volume = {177},
year = {2013},
number = {1},
pages = {53--110},
issn = {0003-486X},
coden = {ANMAAH},
mrclass = {53C40 (53C42)},
mrnumber = {2999038},
mrreviewer = {Claudio Gorodski},
zblnumber = {06146417},
doi = {10.4007/annals.2013.177.1.2},
} -
[M4] R. Miyaoka, "Remarks on “The Dorfmeister-Neher theorem on isoparametric hypersurfaces” [\mr2583325]," Osaka J. Math., vol. 52, iss. 2, pp. 373-376, 2015.
@article{M4, mrkey = {3326615},
author = {Miyaoka, Reiko},
title = {Remarks on ``{T}he {D}orfmeister-{N}eher theorem on isoparametric hypersurfaces'' [\mr{2583325}]},
journal = {Osaka J. Math.},
fjournal = {Osaka Journal of Mathematics},
volume = {52},
year = {2015},
number = {2},
pages = {373--376},
issn = {0030-6126},
mrclass = {53C40 (53C42)},
mrnumber = {3326615},
mrreviewer = {Luiz A. M. Sousa, Jr.},
zblnumber = {1318.53056},
url = {http://projecteuclid.org/euclid.ojm/1427202891},
}
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