Integrability of Invariant Geodesic Flows on n-Symmetric Spaces

preprint2010arXivOpen access

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 nn-symmetric spaces $K^n/\diag(K)$, where KK is a semisimple (respectively, simple) compact Lie group.

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