The quadratic slice theorem and the equiaffine tube theorem for equiaffine Dupin hypersurfaces
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Publication:1781908
DOI10.1007/BF03323014zbMath1078.53011MaRDI QIDQ1781908
Publication date: 9 June 2005
Published in: Results in Mathematics (Search for Journal in Brave)
Related Items (2)
On Cartan's identities of equiaffine isoparametric hypersurfaces ⋮ Blaschke Dupin hypersurfaces and equiaffine tubes
Cites Work
- Dupin hypersurfaces
- An analogue of the holonomy bundle for a foliated manifold
- Cubic form theorem for affine immersions
- De Rham decomposition theorems for foliated manifolds
- Twisted products in pseudo-Riemannian geometry
- On tubes of nonconstant radius
- Affine isoparametric hypersurfaces
- A unimodularly invariant theory for immersions into the affine space
- The decomposition of curvature netted hypersurfaces
- Dupin Hypersurfaces
- Affine Dupin Surfaces
- The Lipschitz-Killing curvature for an equiaffine immersion and theorems of Gauss-Bonnet type and Chern-Lashof type.
- An extrinsic decomposition theorem and a slant tube theorem for a curvature netted hypersurface
- Equiaffine immersions of general codimension and its transversal volume element map
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