Some Remarks on Multisymplectic and Variational Nature of Monge-Ampère Equations in Dimension Four

DOI10.1007/978-3-031-25666-0_3arXiv2305.02431MaRDI QIDQ6151325

Radek Suchánek

Publication date: 9 February 2024

Published in: Groups, Invariants, Integrals, and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.02431

zbMATH Keywords

inverse problemMonge-Ampère equationsmultisymplectic formalism

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Inverse problems for PDEs (35R30) Monge-Ampère equations (35J96)

Cites Work

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• Classical field theories of first order and Lagrangian submanifolds of premultisymplectic manifolds
• Complex solutions of Monge-Ampère equations
• A new characterization of half-flat solutions to Einstein's equation
• Micro-local approach to the Hadamard condition in quantum field theory on curved space-time
• The notion of observable in the covariant Hamiltonian formalism for the calculus of variations with several variables
• CONTACT GEOMETRY AND NON-LINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS
• Hamiltonian structure of real Monge - Ampère equations
• Multi-Hamiltonian structure of Plebanski's second heavenly equation

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