Integrable geodesic flows of Riemannian and sub-Riemannian metrics on Lie groups and homogeneous spaces
We discuss general algebraic methods for constructing integrable geodesic flows of Riemannian and sub-Riemannian metrics on homogeneous spaces and Lie groups. Our approach is based on the concept of non-commutative integrability and the classical idea of dual Poisson algebras suggested by Sophus Lie.
History
School
- Science
Department
- Mathematical Sciences
Published in
Scientific semester “Geometry, Analysis and Dynamics on sub-Riemannian manifolds”Citation
BOLSINOV, A.V., 2014. Integrable geodesic flows of Riemannian and sub-Riemannian metrics on Lie groups and homogeneous spaces. Scientific Semester “Geometry, Analysis and Dynamics on sub-Riemannian manifolds”: Thematic day on Riemannian and Sub-Riemannian Geometry on Lie Groups and Homogeneous Spaces, IHP, Paris, France, 13th-14th November 2014Version
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2014Publisher version
Language
- en
