TY - JOUR
T1 - Isoparametric hypersurfaces with four principal curvatures, IV
AU - Chi, Quo Shin
N1 - Publisher Copyright:
© 2020 International Press of Boston, Inc.. All rights reserved.
PY - 2020
Y1 - 2020
N2 - We prove that an isoparametric hypersurface with four principal curvatures and multiplicity pair (7, 8) is either the one constructed by Ozeki and Takeuchi, or one of the two constructed by Ferus, Karcher, and Münzner. This completes the classification of isoparametric hypersurfaces in spheres that É. Cartan initiated in the late 1930s.
AB - We prove that an isoparametric hypersurface with four principal curvatures and multiplicity pair (7, 8) is either the one constructed by Ozeki and Takeuchi, or one of the two constructed by Ferus, Karcher, and Münzner. This completes the classification of isoparametric hypersurfaces in spheres that É. Cartan initiated in the late 1930s.
KW - Isoparametric hypersurfaces
UR - http://www.scopus.com/inward/record.url?scp=85090282919&partnerID=8YFLogxK
U2 - 10.4310/JDG/1589853626
DO - 10.4310/JDG/1589853626
M3 - Article
AN - SCOPUS:85090282919
SN - 0022-040X
VL - 15
SP - 225
EP - 301
JO - Journal of Differential Geometry
JF - Journal of Differential Geometry
IS - 2
ER -