Isoparametric and Dupin Hypersurfaces

Thomas E. Cecil

A hypersurface $M^{n-1}$ in a real space-form ${\mathbf{R}}^n$, $S^n$ or $H^n$ is isoparametric if it has constant principal curvatures. For ${\mathbf{R}}^n$ and $H^n$, the classification of…