1 citations · 1 across the 9 of their papers we have counts for
11 papers
Taut and Dupin Submanifolds (Updated Version)
Thomas E. Cecil
This is an updated version of a paper by the author which originally appeared in 1997. The original paper was a survey of the closely related fields of taut and Dupin submanifolds…
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…
Classifications of Dupin Hypersurfaces in Lie Sphere Geometry
Thomas E. Cecil
This is a survey of local and global classification results concerning Dupin hypersurfaces in (or ) that have been obtained in the context of Lie sphere geometry.…
Compact Dupin Hypersurfaces
Thomas E. Cecil
A hypersurface in is said to be Dupin if along each curvature surface, the corresponding principal curvature is constant. A Dupin hypersurface is said to be proper…