4 papers
Cohomogeneity-One Ruled Hypersurfaces in and
Thomas A. Ivey, Patrick J. Ryan
In this paper, we show how to construct a special class of ruled hypersurfaces in the nonflat complex space forms and . This is done by taking an arb…
On Cartan's Examples of Isoparametric Hypersurfaces and Their Focal Submanifolds
Thomas E. Cecil, Patrick J. Ryan
This paper is a survey of Cartan's examples of isoparametric hypersurfaces in spheres and their focal submanifolds that were described in his fundamental work on the subject, which…
Tight Spherical Embeddings (Updated Version)
Thomas E. Cecil, Patrick J. Ryan
This is an updated version of a paper which appeared in the proceedings of the 1979 Berlin Colloquium on Global Differential Geometry. This paper contains the original exposition t…
On the Work of Cartan and Münzner on Isoparametric Hypersurfaces
Thomas E. Cecil, Patrick J. Ryan
A hypersurface in a real space form , , or is isoparametric if it has constant principal curvatures. This paper is a survey of the fundament…