Centro-affine hypersurface immersions with parallel cubic form

DOI10.1007/s13366-014-0216-4zbMath1329.53015arXiv1208.1155OpenAlexW2952239066MaRDI QIDQ747581

Roland Hildebrand

Publication date: 16 October 2015

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

Full work available at URL: https://arxiv.org/abs/1208.1155

zbMATH Keywords

Jordan algebrasparallel cubic formcentro-affine geometry

Mathematics Subject Classification ID

Affine differential geometry (53A15)

Related Items (10)

Pseudo-Finsler spaces modeled on a pseudo-Minkowski space ⋮ Centroaffine surfaces with parallel or recurrent cubic form relative to the induced connection ⋮ Classification of the locally strongly convex centroaffine hypersurfaces with parallel cubic form ⋮ Multiple product affine hypersurfaces with semi-parallel cubic form ⋮ Centroaffine \(T\)-umbilical hypersurfaces and pseudo-parallel cubic form ⋮ Affine hypersurfaces of arbitrary signature with an almost symplectic form ⋮ Affine sphere relativity ⋮ Graph immersions with parallel cubic form ⋮ On locally strongly convex affine hyperspheres realizing Chen's equality ⋮ Projectively Self-Concordant Barriers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inductive schemes for the complete classification of affine hypersurfaces with parallel second fundamental form
• Lorentzian affine hypersurfaces with parallel cubic form
• The classification of 3-dimensional Lorentzian affine hypersurfaces with parallel cubic form
• Locally strongly convex affine hypersurfaces with parallel cubic form
• The classification of 4-dimensional non-degenerate affine hypersurfaces with parallel cubic form
• Affine hypersurfaces with parallel cubic forms
• On affine surfaces whose cubic forms are parallel relative to the affine metric
• On locally strongly convex affine hypersurfaces with parallel cubic form. I
• Canonical centroaffine hypersurfaces in \({\mathbb{R}{}}^{n+1}\)
• Centroaffine surfaces with parallel traceless cubic form
• Calabi-type composition of affine spheres
• Classification of five dimensional hypersurfaces with affine normal parallel cubic form
• A taste of Jordan algebras
• Cayley surfaces in affine differential geometry
• On an algebraic generalization of the quantum mechanical formalism
• Affine spheres and Kähler-Einstein metrics.
• On affine hypersurfaces with parallel second fundamental form.
• Centroaffine Bernstein problems
• Characterizations of the Calabi product of hyperbolic affine hyperspheres
• 3-dimensional affine hypersurfaces in ℝ⁴ with parallel cubic form
• Affine higher order parallel hypersurfaces
• Affine hypersurfaces with parallel cubic form
• Hamiltonian square roots of skew-Hamiltonian matrices revisited

This page was built for publication: Centro-affine hypersurface immersions with parallel cubic form