On symplectic classification of effective 3-forms and Monge-Ampère equations.

DOI10.1016/S0926-2245(03)00017-2zbMath1035.34004arXivmath-ph/0003026OpenAlexW1975686157WikidataQ115338045 ScholiaQ115338045MaRDI QIDQ1410597

Bertrand Banos

Publication date: 14 October 2003

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

Full work available at URL: https://arxiv.org/abs/math-ph/0003026

zbMATH Keywords

Monge-Ampère equationsContact formObstructions to integrabilityEffective formsJet spaceSymplectic form

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Geometric methods in ordinary differential equations (34A26) Differential forms in global analysis (58A10) Exterior differential systems (Cartan theory) (58A15) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items (7)

On the geometry of almost complex 6-manifolds ⋮ The Ricci tensor of SU(3)-manifolds ⋮ Hydrodynamic reductions of multidimensional dispersionless PDEs: The test for integrability ⋮ Lie solutions of Riemannian transport equations on compact manifolds ⋮ A SCATTER SEARCH FOR MULTI-DEPOT VEHICLE ROUTING PROBLEM WITH WEIGHT-RELATED COST ⋮ On the integrability of symplectic Monge-Ampère equations ⋮ Complex solutions of Monge-Ampère equations

Cites Work

• Calibrated geometries
• Nondegenerate Monge-Ampère structures in dimension 6
• Integrability criteria for systems of nonlinear partial differential equations
• CONTACT GEOMETRY AND NON-LINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS
• A classification of Monge-Ampère equations
• A Classification of Spinors Up to Dimension Twelve
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