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On the classification of isoparametric hypersurfaces with four distinct curvatures in spheres

On the classification of isoparametric hypersurfaces with four distinct curvatures in spheres

In this paper we give a new proof for the classification result in [3].We show that isoparametric hypersurfaces with four distinct principal curvatures in spheres are of Clifford type provided that the multiplicities m 1 , m 2 of the principal curvatures satisfy m 2 ≥ 2m 1 -1.This inequality …