Geometric theory of differential systems: linearization criterion for systems of second-order ordinary differential equations with a 4-dimensional solvable symmetry group of the Lie-Petrov type \(VI_{1}\)
DOI10.1007/S10958-009-9381-7zbMath1181.53013OpenAlexW2022029631WikidataQ115382471 ScholiaQ115382471MaRDI QIDQ843569
A. V. Aminova, N. A.-M. Aminov
Publication date: 15 January 2010
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-009-9381-7
Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Exterior differential systems (Cartan theory) (58A15) Local Riemannian geometry (53B20)
Cites Work
- Generalized Liouville method of integration of Hamiltonian systems
- Projective transformations of pseudo-Riemannian manifolds
- Automorphisms of geometric structures as symmetries of differential equations
- Nikolai Ivanovich Lobachevskii (on the bicentenary of his birth)
- Projective transformations and symmetries of differential equation
- Lie algebras of infinitesimal projective transformations of Lorentz manifolds
- A global formulation of the Lie theory of transformation groups
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