Survey on Affine Spheres

Abstract

We give a survey of the theory of affine spheres, emphasizing the convex cases and relationsships to Monge-Ampere equations and geometric structures on manifolds.

References in corpus (2)

• Proper Affine Hyperspheres which fiber over Projective Special Kaehler Manifolds
• Limits of Solutions to a Parabolic Monge-Ampere Equation

Cited by in corpus (9)

• An Introduction to Higgs Bundles via Harmonic Maps
• On product affine hyperspheres in ${\mathbb{R}}^{n+1}$
• A Schwarz lemma for Kähler affine metrics and the canonical potential of a proper convex cone
• Even Dimensional Improper Affine Spheres
• Einstein-like geometric structures on surfaces
• Minimal Lagrangian connections on compact surfaces
• Completeness and incompleteness of the Binet-Legendre Metric
• Correlation of the renormalized Hilbert length for convex projective surfaces
• Length spectrum compactification of the ${\mathrm{SO}}_0(2,3)$-Hitchin component