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The geodesic flow on nilmanifolds associated to graphs
Volume 61, no. 2
(2020),
pp. 315–338
https://doi.org/10.33044/revuma.v61n2a09
Abstract
We study the geodesic flow on nilmanifolds associated to graphs. We are
interested in the construction of first integrals to show complete
integrability on some compact quotients. We start on the corresponding Lie
group equipped with a left-invariant metric, which is induced to the quotients.
Also examples of integrable geodesic flows and of non-integrable ones are shown.
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Published by the Unión Matemática Argentina |
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