A nonisoparametric hypersurface with constant principal curvatures

Rodríguez-Vázquez, Alberto

doi:10.1090/proc/14654

A nonisoparametric hypersurface with constant principal curvatures
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by Alberto Rodríguez-Vázquez PDF

Proc. Amer. Math. Soc. 147 (2019), 5417-5420 Request permission

Abstract:

In this note we construct an explicit example of a (compact) conformally flat Riemannian manifold which admits a totally geodesic foliation of codimension one with no isoparametric leaves. This answers negatively the question: Is every hypersurface with constant principal curvatures isoparametric?

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