%0 Conference Paper %A Bolsinov, Alexey %D 2015 %T Integrable geodesic flows of Riemannian and sub-Riemannian metrics on Lie groups and homogeneous spaces %U https://repository.lboro.ac.uk/articles/conference_contribution/Integrable_geodesic_flows_of_Riemannian_and_sub-Riemannian_metrics_on_Lie_groups_and_homogeneous_spaces/9388061 %2 https://repository.lboro.ac.uk/ndownloader/files/17001308 %K untagged %K Mathematical Sciences not elsewhere classified %X 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. %I Loughborough University