The geodesic flow on nilmanifolds associated to graphs

Authors

  • Gabriela Paola Ovando CONICET–UNR, Departamento de Matemática, ECEN-FCEIA, Pellegrini 250, 2000 Rosario, Santa Fe, Argentina

DOI:

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

2020-12-03

Issue

Vol. 61 No. 2 (2020)

Section

Article

License

Copyright (c) 2023 Gabriela Paola Ovando

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