Deformations of Dupin Hypersurfaces
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Publication:4731796
DOI10.2307/2047664zbMath0682.53061OpenAlexW4236531794MaRDI QIDQ4731796
Gudlaugur Thorbergsson, Ulrich Pinkall
Publication date: 1989
Full work available at URL: https://doi.org/10.2307/2047664
Differential geometry of homogeneous manifolds (53C30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)
Related Items (13)
On Dupin hypersurfaces in \(\mathbb R^{5}\) parametrized by lines of curvature ⋮ Möbius curvature, Laguerre curvature and Dupin hypersurface ⋮ Homogeneous surfaces in Lie sphere geometry ⋮ Classifications of Dupin hypersurfaces in Lie sphere geometry ⋮ Singular Riemannian foliations and isoparametric submanifolds ⋮ Ancient solutions to mean curvature flow for isoparametric submanifolds ⋮ Dupin hypersurfaces with four principal curvatures in \(\mathbb R^{5}\) with principal coordinates ⋮ On the Lie curvature of Dupin hypersurfaces ⋮ Dupin hypersurfaces with four principal curvatures. II. ⋮ Clifford algebras and polar planes ⋮ On a class of Dupin hypersurfaces in \(\mathbb R^5\) with nonconstant Lie curvature ⋮ Dupin hypersurfaces and a Lie invariant ⋮ Lie Sphere Transformations and the Focal Sets of Certain Taut Immersions
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