Integrability of Invariant Geodesic Flows on n-Symmetric Spaces

Details Integrability of Invariant Geodesic Flows on n-Symmetric Spaces Integrability of Invariant Geodesic Flows on n-Symmetric Spaces

2010-06-18

arxiv.org/abs/1006.3693v1

Mathematics

Differential Geometry

14 pages, to appear in Annals of Global Analysis and Geometry, the final publication is available at www.springerlink.com

Scientific paper

10.1007/s10455-010-9216-2

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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