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arXiv · 1903.03537

A nonisoparametric hypersurface with constant principal curvatures

Alberto Rodríguez-Vázquez
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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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Alberto Rodríguez-Vázquez. 2019-03-08. A nonisoparametric hypersurface with constant principal curvatures. https://arxiv.org/abs/1903.03537

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