Tautness and Lie sphere geometry

DOI10.1007/BF01458076zbMath0635.53029OpenAlexW1996216630MaRDI QIDQ1097527

Thomas E. Cecil, Shiing-shen Chern

Publication date: 1987

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164297

zbMATH Keywords

contact manifoldDupin hypersurfaceLie geometryLegendre mapMöebius geometrytaut immersions

Mathematics Subject Classification ID

Related Items (15)

Plane curves in Lie sphere geometry ⋮ Deformations of Dupin Hypersurfaces ⋮ Möbius curvature, Laguerre curvature and Dupin hypersurface ⋮ Homogeneous surfaces in Lie sphere geometry ⋮ Classifications of Dupin hypersurfaces in Lie sphere geometry ⋮ Möbius geometry for hypersurfaces in S⁴ ⋮ Lie sphere geometry in nuclear scattering processes ⋮ On the Lie curvature of Dupin hypersurfaces ⋮ Jacobi and the birth of Lie's theory of groups ⋮ Lie sphere geometry in Hilbert spaces ⋮ Dupin hypersurfaces and a Lie invariant ⋮ Lie Sphere Transformations and the Focal Sets of Certain Taut Immersions ⋮ Lie contact structures and normal Cartan connections ⋮ Lie contact structures and conformal structures ⋮ Lie contact manifolds. II

Cites Work

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• Dupin hypersurfaces
• Dupin'sche Hyperflächen in \(E^ 4\). (Dupin hypersurfaces in \(E^ 4)\)
• Curvature properties of taut submanifolds
• Isoparametric submanifolds and their Coxeter groups
• The topology of isoparametric submanifolds
• Dupin Hypersurfaces
• Distance functions and umbilic submanifolds of hyperbolic space
• Tight and Taut Immersions

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