Rational integrals of the second degree of two-dimensional geodesic equations
From MaRDI portal
Publication:515189
DOI10.17377/semi.2017.14.005zbMath1375.53103MaRDI QIDQ515189
Publication date: 13 March 2017
Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)
Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Geodesic flows in symplectic geometry and contact geometry (53D25)
Related Items (6)
Integrable magnetic geodesic flows on 2-surfaces * ⋮ Rational integrals of a natural mechanical system on the 2-torus ⋮ On the geometric and analytical properties of the anharmonic oscillator ⋮ Integrable geodesic flows and metrisable second-order ordinary differential equations ⋮ On first integrals of two-dimensional geodesic flows ⋮ Rational integrals of 2-dimensional geodesic flows: new examples
Cites Work
- \(\Phi\)-harmonic functions on discrete groups and the first \(\ell^\Phi\)-cohomology
- On rational integrals of geodesic flows
- Invariant characterization of Liouville metrics and polynomial integrals
- Rough isometries and the parabolicity of Riemannian manifolds
- \(p\)-harmonic functions on graphs and manifolds
- Metrisability of two-dimensional projective structures
- On local description of two-dimensional geodesic flows with a polynomial first integral
- Invariants of a family of scalar second-order ordinary differential equations for Lie symmetries and first integrals
- A new proof of Gromov’s theorem on groups of polynomial growth
- Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry
- Mathematical analysis II. Transl. from the 4th Russian edition by Roger Cooke
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Rational integrals of the second degree of two-dimensional geodesic equations
