A nonisoparametric hypersurface with constant principal curvatures
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?
4 pages