Normal forms for Lagrangian distributions on 5-dimensional contact manifolds

DOI10.1016/j.difgeo.2008.06.019zbMath1162.53325OpenAlexW2080611219WikidataQ115357436 ScholiaQ115357436MaRDI QIDQ1012337

J. Martínez

Publication date: 16 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2008.06.019

zbMATH Keywords

contact manifoldsparabolic Monge-Ampère equationsLagrangian distributionscharacteristics of second order PDE's

Mathematics Subject Classification ID

Pfaffian systems (58A17) Contact manifolds (general theory) (53D10) Geometric theory, characteristics, transformations in context of PDEs (35A30) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (6)

Meta-symplectic geometry of \(3^{\mathrm{rd}}\) order Monge-Ampère equations and their characteristics ⋮ Finding solutions of parabolic Monge-Ampère equations by using the geometry of sections of the contact distribution ⋮ Monge-Ampère equations on (para-)Kähler manifolds: from characteristic subspaces to special Lagrangian submanifolds ⋮ The moment map on the space of symplectic 3D Monge-Ampère equations ⋮ Contact geometry of multidimensional Monge-Ampère equations: characteristics, intermediate integrals and solutions ⋮ Contact manifolds, Lagrangian Grassmannians and PDEs

Cites Work

• Unnamed Item
• Characteristic cohomology of differential systems. II: Conservation laws for a class of parabolic equations
• CONTACT GEOMETRY AND NON-LINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS
• On the contact linearization of Monge-Ampere equations
• The equations determining intermediate integrals for Monge-Ampère PDE

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