Integrability of Invariant Geodesic Flows on n-Symmetric Spaces
classification
🧮 math.DG
math-phmath.MPnlin.SI
keywords
flowsgeodesicintegrabilityinvariantmetricsspacesargumentcompact
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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 $K^n/\diag(K)$, where $K$ is a semisimple (respectively, simple) compact Lie group.
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