ScholarLens Back to search
2020•Revista de la Unión Matemática ArgentinaOpen access

The geodesic flow on nilmanifolds associated to graphs

Gabriela P. Ovando

Open full text 1 citations

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.

Open-access reader

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Integrable system, Geodesic, Geodesic flow, Quotient, Geodesic map, Totally geodesic, Mathematics, Flow (mathematics)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
The geodesic flow on nilmanifolds associated to graphs — Research Paper | ScholarLens