Thomas E. Cecil

collaborators

2 papers

math.DG2025

Constructions of Compact Dupin Hypersurfaces with Non-constant Lie Curvatures

Thomas E. Cecil

A hypersurface $M$ in the unit sphere $S^{n} \subset R^{n + 1}$ is Dupin if along each curvature surface of $M$ , the corresponding principal curvature is constant. If the number…

math.DG2025

Notes on the Invariance of Tautness Under Lie Sphere Transformations

Thomas E. Cecil

An embedding $I ¨ : V \to S^{n}$ of a compact, connected manifold $V$ into the unit sphere $S^{n} \subset R^{n + 1}$ is said to be taut, if every nondegenerate spherical dista…