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Integrability of Invariant Geodesic Flows on n-Symmetric Spaces

Published 18 Jun 2010 in math.DG, math-ph, math.MP, and nlin.SI | (1006.3693v1)

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

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