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Integrable geodesic flows of Riemannian and sub-Riemannian metrics on Lie groups and homogeneous spaces

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conference contribution
posted on 2015-06-16, 10:00 authored by Alexey BolsinovAlexey Bolsinov
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 2014

Version

  • 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

2014

Language

  • en

Location

IPH, Paris, France

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