Inductive schemes for the complete classification of affine hypersurfaces with parallel second fundamental form

DOI10.1007/s13366-011-0005-2zbMath1230.53014OpenAlexW1979906978MaRDI QIDQ536145

Salvador D. Gigena

Publication date: 16 May 2011

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-011-0005-2

zbMATH Keywords

Monge-Ampère equationimproper affine spheresBlaschke hypersurfacesinduced connectionparallel cubic form

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Affine differential geometry (53A15)

Related Items (8)

Conformally flat affine hypersurfaces with semi-parallel cubic form ⋮ Locally strongly convex affine hypersurfaces with semi-parallel cubic form ⋮ Multiple product affine hypersurfaces with semi-parallel cubic form ⋮ On conformally flat affine hypersurfaces with pseudo-parallel cubic form ⋮ Affine hypersurfaces with parallel difference tensor relative to affine \(\alpha\)-connection ⋮ The generalized Cayley hypersurfaces and their geometrical characterization ⋮ Graph immersions with parallel cubic form ⋮ Centro-affine hypersurface immersions with parallel cubic form

Cites Work

• Unnamed Item
• Classification of five dimensional hypersurfaces with affine normal parallel cubic form
• Cayley surfaces in affine differential geometry
• On affine hypersurfaces with parallel second fundamental form.
• Affine higher order parallel hypersurfaces

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