A nonisoparametric hypersurface with constant principal curvatures
Differential Geometry
2019-03-11 v1
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?
Keywords
Cite
@article{arxiv.1903.03537,
title = {A nonisoparametric hypersurface with constant principal curvatures},
author = {Alberto Rodríguez-Vázquez},
journal= {arXiv preprint arXiv:1903.03537},
year = {2019}
}
Comments
4 pages