Monge-Ampère equations and generalized complex geometry -- the two-dimensional case

DOI10.1016/J.GEOMPHYS.2006.06.005zbMath1121.35051arXivmath/0603432OpenAlexW2002449906MaRDI QIDQ864840

Bertrand Banos

Publication date: 13 February 2007

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603432

zbMATH Keywords

Monge-Ampère equationsgeometry of PDEsgeneralized complex geometry

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Other complex differential geometry (53C56) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (5)

On a class of integrable systems of Monge-Ampère type ⋮ Generalized complex structures and Lie brackets ⋮ Compatible structures on Lie algebroids and Monge-Ampère operators ⋮ Complex solutions of Monge-Ampère equations ⋮ Pseudo-Riemannian and Hessian geometry related to Monge-Ampère structures

Cites Work

• Generalized complex geometry
• Manin triples for Lie bialgebroids
• Geometry of hyper-Kähler connections with torsion
• Submanifolds of generalized complex manifolds
• Prequantization and Lie brackets
• Potentials for hyper-Kähler metrics with torsion
• CONTACT GEOMETRY AND NON-LINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS
• A classification of Monge-Ampère equations
• Generalized Calabi-Yau Manifolds

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