Integrability of Invariant Geodesic Flows on n-Symmetric Spaces
arXiv:1006.3693 · doi:10.1007/s10455-010-9216-2
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 $K^n/\diag(K)$, where is a semisimple (respectively, simple) compact Lie group.
14 pages, to appear in Annals of Global Analysis and Geometry, the final publication is available at www.springerlink.com