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...

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Bibliographic Details
Main Author: Alexey Bolsinov
Format: Default Conference proceeding
Published: 2014
Subjects:
Online Access:https://hdl.handle.net/2134/17873
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