Some remarks on contact manifolds, Monge–Ampère equations and solution singularities

DOI10.1142/S0219887814600263zbMath1304.35023arXiv1403.1742OpenAlexW2963097182MaRDI QIDQ2925095

Alexandre M. Vinogradov

Publication date: 20 October 2014

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.1742

zbMATH Keywords

Jordan algebras

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Contact manifolds (general theory) (53D10) Propagation of singularities; initial value problems on manifolds (58J47) Monge-Ampère equations (35J96)

Related Items (1)

Covariant Variational Evolution and Jacobi brackets: Fields

Cites Work

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• On geometry of second-order parabolic equations in two independent variables
• Scalar differential invariants of symplectic Monge-Ampère equations
• Eikonal type equations for geometrical singularities of solutions in field theory
• Vacuum Einstein metrics with bidimensional Killing leaves. II: Global aspects.
• CONTACT GEOMETRY AND NON-LINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS
• Smooth Manifolds and Observables
• Differential invariants of generic hyperbolic Monge-Ampère equations

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