Abstract
We prove that isoparametric hypersurfaces with $(g,m)=(6,2)$ are homogeneous, which answers Dorfmeister-Neher’s conjecture affirmatively and solves Yau’s problem in the case $g=6$.
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author={Cartan, {É}lie},
TITLE = {Sur quelques familles remarquables d'hypersurfaces},
JOURNAL={C. R. Congrès Math. Liège},
YEAR={1939},
PAGES={30--41},
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} -
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AUTHOR = {Cartan, {É}lie},
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@incollection {Y, MRKEY = {1201369},
AUTHOR = {Yau, Shing-Tung},
TITLE = {Open problems in geometry},
BOOKTITLE = {Chern---A Great Geometer of the Twentieth Century},
PAGES = {275--319},
PUBLISHER = {Int. Press, Hong Kong},
YEAR = {1992},
MRCLASS = {53-02 (01A67)},
MRNUMBER = {1201369},
ZBLNUMBER = {0826.01010},
DOI = {10.1007/BF01360880},
}