Symplectic and contact Lie algebras with an application to Monge-Ampere equations

zbMath1032.53067arXivdg-ga/9709004MaRDI QIDQ4486337

Boris S. Kruglikov

Publication date: 29 June 2000

Full work available at URL: https://arxiv.org/abs/dg-ga/9709004

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Applications of Lie algebras and superalgebras to integrable systems (17B80) Contact manifolds (general theory) (53D10) Higher-order elliptic equations (35J30)

Related Items (9)

Unnamed Item ⋮ 5-dimensional indecomposable contact Lie algebras as double extensions ⋮ A contact linearization problem for Monge-Ampère equations and Laplace invariants ⋮ On contact equivalence of Monge-Ampère equations to linear equations with constant coefficients ⋮ Invariants of contact Lie algebras ⋮ Complex, symplectic, and contact structures on low-dimensional Lie groups ⋮ Differential invariants of generic hyperbolic Monge-Ampère equations ⋮ Locally conformal symplectic structures on Lie algebras of type I and their solvmanifolds ⋮ Deformation theory of contact Lie algebras as double extensions

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