Affine higher order parallel hypersurfaces

DOI10.5802/afst.663zbMath0687.53011OpenAlexW2015840922MaRDI QIDQ4206027

Luc Vrancken

Publication date: 1988

Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1988_5_9_3_341_0

zbMATH Keywords

quadricequiaffine immersiongraph immersionaffine immersionsCayley surface

Mathematics Subject Classification ID

Affine differential geometry (53A15)

Related Items (16)

On affine hypersurfaces with parallel second fundamental form. ⋮ Lorentzian affine hypersurfaces with an almost symplectic form ⋮ Centroaffine surfaces with parallel or recurrent cubic form relative to the induced connection ⋮ 3-dimensional affine hypersurfaces in ℝ⁴ with parallel cubic form ⋮ Affine hypersurfaces of arbitrary signature with an almost symplectic form ⋮ Three-dimensional locally homogeneous Lorentzian affine hyperspheres with constant sectional curvature ⋮ Affine hypersurfaces with parallel difference tensor relative to affine \(\alpha\)-connection ⋮ The generalized Cayley hypersurfaces and their geometrical characterization ⋮ On affine hypersurfaces with an almost symplectic structure ⋮ Graph immersions with parallel cubic form ⋮ Inductive schemes for the complete classification of affine hypersurfaces with parallel second fundamental form ⋮ Geometrical and P.D.E. methods in the treatment of the theory of shells: comparing Euclidean and affine approaches ⋮ Affine surfaces with higher order parallel cubic form ⋮ On locally strongly convex affine hypersurfaces with parallel cubic form. I ⋮ Centro-affine hypersurface immersions with parallel cubic form ⋮ A differential geometric characterization of the Cayley hypersurface

Cites Work

• On completeness in affine differential geometry
• On the geometry of affine immersions
• Cubic form theorem for affine immersions
• Cayley surfaces in affine differential geometry
• On the improper convex affine hyperspheres
• Complete affine hypersurfaces. Part I. The completeness of affine metrics
• Hypersurfaces with Maximal Affinely Invariant Area

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