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Quasi-umbilical, locally strongly convex homogeneous affine hypersurfaces

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Publication:1890834
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DOI10.2969/jmsj/04630477zbMath0820.53009OpenAlexW1963719254MaRDI QIDQ1890834

Luc Vrancken, Frankie Dillen

Publication date: 23 May 1995

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04630477


zbMATH Keywords

affine shape operatorquasi-umbilical hypersurface


Mathematics Subject Classification ID

Affine differential geometry (53A15)


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Four-dimensional locally strongly convex homogeneous affine hypersurfaces ⋮ The classification of 3-dimensional quasi-umbilical locally homogeneous Blaschke hypersurfaces ⋮ Three-dimensional locally homogeneous Lorentzian affine hyperspheres with constant sectional curvature ⋮ On quasi-umbilical locally strongly convex homogeneous affine hypersurfaces ⋮ Characterization of the generalized Calabi composition of affine hyperspheres ⋮ The classification of 3-dimensional locally strongly convex homogeneous affine hypersurfaces ⋮ On hypersurfaces satisfying conditions determined by the Opozda–Verstraelen affine curvature tensor ⋮ Blaschke Dupin hypersurfaces and equiaffine tubes



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