Integrable Geodesic Flows

DOI10.1007/978-3-319-63594-1_23zbMath1403.53002OpenAlexW2788080869MaRDI QIDQ4556850

Alexei V. Bolsinov

Publication date: 28 November 2018

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

Full work available at URL: https://figshare.com/articles/Integrable_geodesic_flows/9376103

zbMATH Keywords

integrabilitygeodesic flowHamiltonian representation

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geodesics in global differential geometry (53C22) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Geodesic flows in symplectic geometry and contact geometry (53D25)

Cites Work

• The geodesic flow of a generic metric does not admit nontrivial integrals polynomial in momenta
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