Abstract
In this note we prove that for eachn there are only finitely many diffeomorphism classes of compact isoparametric hypersurfaces ofS n+1 with four distinct principal curvatures.
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Wu, BL. A finiteness theorem for isoparametric hypersurfaces. Geom Dedicata 50, 247–250 (1994). https://doi.org/10.1007/BF01267867
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DOI: https://doi.org/10.1007/BF01267867