On the Work of Cartan and Münzner on Isoparametric Hypersurfaces

Thomas E. Cecil, Patrick J. Ryan

A hypersurface $M^n$ in a real space form ${\mathbf{R}}^{n+1}$, $S^{n+1}$, or $H^{n+1}$ is isoparametric if it has constant principal curvatures. This paper is a survey of the fundament…