Integrability of Invariant Geodesic Flows on n-Symmetric Spaces
Differential Geometry
2010-06-21 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
In this paper, by modifying the argument shift method,we prove Liouville integrability of geodesic flows of normal metrics (invariant Einstein metrics) on the Ledger-Obata -symmetric spaces , where is a semisimple (respectively, simple) compact Lie group.
Keywords
Cite
@article{arxiv.1006.3693,
title = {Integrability of Invariant Geodesic Flows on n-Symmetric Spaces},
author = {Bozidar Jovanovic},
journal= {arXiv preprint arXiv:1006.3693},
year = {2010}
}
Comments
14 pages, to appear in Annals of Global Analysis and Geometry, the final publication is available at www.springerlink.com