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College of the Holy Cross

Algebraic geometry

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Full-Text Articles in Mathematics

Dupin Submanifolds In Lie Sphere Geometry (Updated Version), Thomas E. Cecil, Shiing-Shen Chern Oct 2020

Dupin Submanifolds In Lie Sphere Geometry (Updated Version), Thomas E. Cecil, Shiing-Shen Chern

Mathematics Department Faculty Scholarship

A hypersurface Mn-1 in Euclidean space En is proper Dupin if the number of distinct principal curvatures is constant on Mn-1, and each principal curvature function is constant along each leaf of its principal foliation. This paper was originally published in 1989 (see Comments below), and it develops a method for the local study of proper Dupin hypersurfaces in the context of Lie sphere geometry using moving frames. This method has been effective in obtaining several classification theorems of proper Dupin hypersurfaces since that time. This updated version of the paper contains the original exposition together …

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Dupin Submanifolds In Lie Sphere Geometry, Thomas E. Cecil, Shiing-Shen Chern Jan 1989

Dupin Submanifolds In Lie Sphere Geometry, Thomas E. Cecil, Shiing-Shen Chern

Mathematics Department Faculty Scholarship

No abstract provided.

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Riemann Surfaces: Distribution Of Weierstrass Points On Nodal Curves Of Genus 2, Kathryn A. Furio '88 May 1988

Riemann Surfaces: Distribution Of Weierstrass Points On Nodal Curves Of Genus 2, Kathryn A. Furio '88

Fenwick Scholar Program

No abstract provided.

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