Three Dimensional Affine Hyperspheres Generated by Two Dimensional Partial Differential Equations

DOI<link itemprop=identifier href="https://doi.org/10.1002/1522-2616(200204)237:1<129::AID-MANA129>3.0.CO;2-O" /><129::AID-MANA129>3.0.CO;2-O 10.1002/1522-2616(200204)237:1<129::AID-MANA129>3.0.CO;2-OzbMath1003.53014OpenAlexW1969313916MaRDI QIDQ4532422

Luc Vrancken

Publication date: 15 January 2003

Full work available at URL: https://doi.org/10.1002/1522-2616(200204)237:1<129::aid-mana129>3.0.co;2-o

zbMATH Keywords

Monge-Ampere equationsoliton equationaffine hyperspheres

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Affine differential geometry (53A15)

Related Items (1)

Improper affine hyperspheres with self-congruent center map

Cites Work

• Unnamed Item
• Conjugate connections and Radon's theorem in affine differential geometry
• Calabi conjecture on hyperbolic affine hyperspheres. II
• The Magid-Ryan conjecture for equiaffine hyperspheres with constant sectional curvature.
• On the improper convex affine hyperspheres
• Affine spheres with constant affine sectional curvature
• Complete affine hypersurfaces. Part I. The completeness of affine metrics
• Hyperbolic affine hyperspheres
• An extremal class of 3-dimensional elliptic affine spheres

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