2134/17873
Alexey Bolsinov
Alexey
Bolsinov
Integrable geodesic flows of Riemannian and sub-Riemannian metrics on Lie groups and homogeneous spaces
Loughborough University
2015
untagged
Mathematical Sciences not elsewhere classified
2015-06-16 10:00:27
Conference contribution
https://repository.lboro.ac.uk/articles/conference_contribution/Integrable_geodesic_flows_of_Riemannian_and_sub-Riemannian_metrics_on_Lie_groups_and_homogeneous_spaces/9388061
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.