On affine hypersurfaces with parallel second fundamental form.

DOI10.2748/tmj/1113247647zbMath1033.53009OpenAlexW2043380240MaRDI QIDQ1872827

Salvador D. Gigena

Publication date: 13 July 2003

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113247647

zbMATH Keywords

Blaschke hypersurfacesparallel cubic form

Mathematics Subject Classification ID

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

Related Items (6)

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 ⋮ Inductive schemes for the complete classification of affine hypersurfaces with parallel second fundamental form ⋮ On locally strongly convex affine hypersurfaces with parallel cubic form. I ⋮ Centro-affine hypersurface immersions with parallel cubic form

Cites Work

• Cayley surfaces in affine differential geometry
• Affine higher order parallel hypersurfaces
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