A nonisoparametric hypersurface with constant principal curvatures

2019/03/08 by Rodríguez-Vázquez, Alberto · 1 citation
#53C12 #Differential Geometry (math.DG) #FOS: Mathematics #Primary 53C40 #Secondary 53B25

paper · doi:10.48550/arxiv.1903.03537

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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