The geodesic flow on nilmanifolds associated to graphs

Gabriela P. Ovando ^[1]
1. [1] CONICET–UNR, Argentina
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 61, Nº. 2, 2020, págs. 315-338
Idioma: inglés
DOI: 10.33044/revuma.v61n2a09
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Resumen
- 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.