Meta-symplectic geometry of \(3^{\mathrm{rd}}\) order Monge-Ampère equations and their characteristics

DOI10.3842/SIGMA.2016.032zbMath1337.53096arXiv1403.3521OpenAlexW1558086925MaRDI QIDQ274865

Gianni Manno, Giovanni Moreno

Publication date: 25 April 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.3521

zbMATH Keywords

Monge-Ampère equationscharacteristics of PDEsdistributions on manifoldsprolongations of contact manifoldsthird-order PDEs

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Contact manifolds (general theory) (53D10) Geometric theory, characteristics, transformations in context of PDEs (35A30) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (5)

On a generalization of Monge-Ampère equations and Monge-Ampère systems ⋮ Contact manifolds, Lagrangian Grassmannians and PDEs ⋮ Completely exceptional 2nd order PDEs via conformal geometry and BGG resolution ⋮ Remarks on the Lagrangian representation of bi-Hamiltonian equations ⋮ Geometry of Lagrangian Grassmannians and nonlinear PDEs

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