Symmetries of filtered structures via filtered Lie equations
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Publication:741116
DOI10.1016/j.geomphys.2014.05.009zbMath1298.58006arXiv1401.6599OpenAlexW2029838426MaRDI QIDQ741116
Publication date: 10 September 2014
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.6599
Symmetries, invariants of ordinary differential equations (34C14) Control problems involving ordinary differential equations (34H05) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Vector distributions (subbundles of the tangent bundles) (58A30)
Related Items (5)
\(k\)-Dirac operator and the Cartan-Kähler theorem for weighted differential operators ⋮ Symmetries of supergeometries related to nonholonomic superdistributions ⋮ Differential invariants and symmetry: Riemannian metrics and beyond ⋮ \(G(3)\)-supergeometry and a supersymmetric extension of the Hilbert-Cartan equation ⋮ Unnamed Item
Cites Work
- Finite-dimensionality in Tanaka theory
- Rank 2 distributions of Monge equations: symmetries, equivalences, extensions
- On Tanaka's prolongation procedure for filtered structures of constant type
- On automorphism groups of some types of generic distributions
- On the intransitive Lie algebras whose transitive parts are infinite and primitive
- The gap phenomenon in the dimension study of finite type systems
- On differential systems, graded Lie algebras and pseudo-groups
- Vector Bundles and Projective Modules
- Smooth Manifolds and Observables
- Geometry of differential equations
- Overdetermined systems of linear partial differential equations
- An algebraic model of transitive differential geometry
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