| Authors: | Jovanović, Božidar | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Integrability of invariant geodesic flows on n-symmetric spaces | Journal: | Annals of Global Analysis and Geometry | Volume: | 38 | Issue: | 3 | First page: | 305 | Last page: | 316 | Issue Date: | 23-Jun-2010 | Rank: | M21 | ISSN: | 0232-704X | DOI: | 10.1007/s10455-010-9216-2 | Abstract: | In this article, by modifying the argument shift method, we prove Liouville integrability of geodesic flows of normal metrics (invariant Einstein metrics) on the Ledger-Obata n-symmetric spaces Kn/diag(K), where K is a semisimple (respectively, simple) compact Lie group. |
Keywords: | Einstein metrics | Homogeneous spaces | Invariant polynomials | Non-commutative and commutative integrability | Translation of argument | Publisher: | Springer Link | Project: | Serbian Ministry of Science, Project 144014 "Geometry and Topology of Manifolds and Integrable Dynamical Systems" |
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