Quasi-homogeneous domains and convex affine manifolds

DOI10.1016/S0166-8641(03)00106-8zbMath1039.57006arXivmath/0305027MaRDI QIDQ1414252

Kyeonghee Jo

Publication date: 20 November 2003

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305027

zbMATH Keywords

affine manifoldstrictly convexprojective manifolddivisiblequasi-homogeneous

Mathematics Subject Classification ID

Rigidity results (53C24) General geometric structures on low-dimensional manifolds (57M50) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (6)

On the Markus conjecture in convex case ⋮ Homogeneity, quasi-homogeneity and differentiability of domains. ⋮ Divisible convex sets. II ⋮ A rigidity result for domains with a locally strictly convex point ⋮ Affine sphere relativity ⋮ A characterization of convex cones

Cites Work

• Affine manifolds with nilpotent holonomy
• Three-dimensional affine crystallographic groups
• Distality, completeness, and affine structures
• Two examples of affine manifolds
• Rigidity and deformation spaces of strictly convex real projective structures on compact manifolds
• Automorphisms of convex cones
• Autour de la conjecture de L. Markus sur les variétés affines. (Around the conjecture of L. Markus on affine manifolds)
• Quasi-homogeneous cones
• Déformations de connexions localement plates
• Convexes divisibles
• Sur les variétés localement affines et localement projectives
• Affine Manifolds and Orbits of Algebraic Groups
• Variétés affines radiales de dimension 3
• Rigidity of Hilbert metrics
• The Radiance Obstruction and Parallel Forms on Affine Manifolds
• Convex Real Projective Structures on Closed Surfaces are Closed
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