Thomas E. Cecil

activity

20042026

most citedOn Kuiper's conjecture

1 citations · 1 across the 9 of their papers we have counts for

collaborators

Showing 2020Show all

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math.DG2020

Using Lie Sphere Geometry to Study Dupin Hypersurfaces in $R^{n}$

Thomas E. Cecil

A hypersurface $M$ in $R^{n}$ or $S^{n}$ is said to be Dupin if along each curvature surface, the corresponding principal curvature is constant. A Dupin hypersurface is said to b…

math.DG2020

Dupin Submanifolds in Lie Sphere Geometry (updated version)

Thomas E. Cecil, Shiing-Shen Chern

A hypersurface $M^{n - 1}$ in Euclidean space $E^{n}$ is proper Dupin if the number of distinct principal curvatures is constant on $M^{n - 1}$ , and each principal curvature function is…

Using Lie Sphere Geometry to Study Dupin Hypersurfaces in Rn

Dupin Submanifolds in Lie Sphere Geometry (updated version)

Using Lie Sphere Geometry to Study Dupin Hypersurfaces in $R^{n}$