Rank 2 distributions of Monge equations: symmetries, equivalences, extensions

DOI10.1016/j.aim.2011.06.019zbMath1234.34010arXiv0910.5946OpenAlexW1978397269MaRDI QIDQ639558

Boris S. Kruglikov, Ian M. Anderson

Publication date: 22 September 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.5946

zbMATH Keywords

symmetry groupcentral extensionTanaka algebraHilbert-Cartan equationintegrable extensionLie-Bäcklund theoremMonge equationrank 2 distribution

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (15)

Lie Theorem via Rank 2 Distributions (Integration of PDE of Class ω = 1) ⋮ Differential invariants of Einstein-Weyl structures in 3D ⋮ Rigidity of 2-step Carnot groups ⋮ Generalized Lie-Bäcklund theorem for Lie class overdetermined systems ⋮ Symmetry, compatibility and exact solutions of PDEs ⋮ The gap phenomenon in the dimension study of finite type systems ⋮ Equivariant moving frame method and the local equivalence of \(u _{xx } = r(x, u, v, u_{x }, v_{x })\) under fiber-preserving transformations ⋮ On integrability of certain rank 2 sub-Riemannian structures ⋮ Unnamed Item ⋮ Equivalence of variational problems of higher order ⋮ Global Lie-Tresse theorem ⋮ Symmetries of filtered structures via filtered Lie equations ⋮ Geometry of rank 2 distributions with nonzero Wilczynski invariants* ⋮ Null-forms of conic systems in \(\mathbb{R}^3\) are determined by their symmetries ⋮ On the models of submaximal symmetric rank 2 distributions in 5D

Cites Work

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• Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations
• Finite-dimensionality in Tanaka theory
• Characteristics and the geometry of hyperbolic equations in the plane
• Superposition formulas for exterior differential systems
• Transitive Lie algebras admitting differential systems
• Internal, external, and generalized symmetries
• Geometric structures on filtered manifolds
• Characteristic cohomology of differential systems. II: Conservation laws for a class of parabolic equations
• On differential systems, graded Lie algebras and pseudo-groups
• Transformations of Darboux Integrable Systems
• On local geometry of non-holonomic rank 2 distributions
• Geometry of differential equations
• Geometric approach to Goursat flags

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