Part of the Physical Sciences and Mathematics Commons

Works by Thomas E. Cecil in Physical Sciences and Mathematics

2023

Translation of: Sur quelque familles remarquables d’hypersurfaces, C.R. Congrès Math. Liège, 1939, pp. 30–41, by Élie Cartan., Thomas E. Cecil
Mathematics Department Faculty Scholarship

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Translation of: Sur des familles d’hypersurfaces isoparamétriques des espaces sphériques à 5 et à 9 dimensions by Élie Cartan, Thomas E. Cecil
Mathematics Department Faculty Scholarship

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Translation of: Familles de surfaces isoparamétriques dans les espaces à courbure constante, Annali di Mat. 17 (1938), 177–191, by Élie Cartan., Thomas E. Cecil
Mathematics Department Faculty Scholarship

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Translation of: Sur des familles remarquables d’hypersurfaces isoparamétriques dans les espaces sphériques, Mathematische Zeitschrift 45, 335–367 (1939), by Élie Cartan., Thomas E. Cecil
Mathematics Department Faculty Scholarship

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2022

Classifications of Dupin Hypersurfaces in Lie Sphere Geometry, Thomas E. Cecil
Mathematics Department Faculty Scholarship

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Translation of: Dupin’sche Hyperflächen, Doctoral dissertation, Universität Freiburg (1981) by Ulrich Pinkall, Thomas E. Cecil
Mathematics Department Faculty Scholarship

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2021

Using Lie Sphere Geometry to Study Dupin Hypersurfaces in R^n, Thomas E. Cecil
Mathematics Department Faculty Scholarship

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Compact Dupin Hypersurfaces, Thomas E. Cecil
Mathematics Department Faculty Scholarship

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Translation of: Isoparametrische Hyperflächen in Sphären, Math. Ann. 251, 57–71 (1980) by Hans Friedrich Münzner., Thomas E. Cecil
Mathematics Department Faculty Scholarship

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Translation of: Isoparametrische Hyperflächen in Sphären II. Über die Zerlegung der Sphäre in Ballbündel, Math. Ann. 256, 215–232 (1981) by Hans Friedrich Münzner., Thomas E. Cecil
Mathematics Department Faculty Scholarship

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2020

Dupin Submanifolds in Lie Sphere Geometry (updated version), Thomas E. Cecil, Shiing-Shen Chern
Mathematics Department Faculty Scholarship

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2018

Lie Sphere Geometry and Dupin Hypersurfaces, Thomas E. Cecil
Mathematics Department Faculty Scholarship

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2008

Isoparametric and Dupin Hypersurfaces, Thomas E. Cecil
Mathematics Department Faculty Scholarship

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On Kuiper's Question Whether Taut Submanifolds Are Algebraic, Thomas E. Cecil, Quo-Shin Chi, Gary Jensen
Mathematics Department Faculty Scholarship

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1990

On the Lie Curvature of Dupin Hypersurfaces, Thomas E. Cecil
Mathematics Department Faculty Scholarship

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1989

Dupin submanifolds in Lie sphere geometry, Thomas E. Cecil, Shiing-Shen Chern
Mathematics Department Faculty Scholarship

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1978

Focal Sets of Submanifolds, Thomas E. Cecil, Patrick J. Ryan
Mathematics Department Faculty Scholarship

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1976

Taut Immersions of Non-Compact Surfaces into a Euclidean 3-Space, Thomas E. Cecil
Mathematics Department Faculty Scholarship

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1974

A Characterization of Metric Spheres in Hyperbolic Space by Morse Theory, Thomas E. Cecil
Mathematics Department Faculty Scholarship

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