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arxiv: 1708.09457 · v2 · pith:I5RYZNBWnew · submitted 2017-08-30 · 🧮 math.DG

The geodesic flow on nilmanifolds associated to graphs

classification 🧮 math.DG
keywords geodesicassociatedflowgraphsnilmanifoldscompactcompleteconstruction
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In this work 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. Also examples of integrable geodesic flows and of non-integrable ones are shown.

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