Periodic orbits of Linear flows on connected Lie groups

Authors

  • Simão Nicolau Stelmastchuk Universidade Federal do Paraná.

DOI:

https://doi.org/10.22199/issn.0717-6279-5261

Keywords:

periodic orbits, linear flows, connected Lie groups

Abstract

Our main goal is to study the periodic orbits of linear flows on a real, connected Lie group. Since each linear flow φt has a derivation associated 𝒟, we show that the existence of periodic orbits of φt is based on the eigenvalues of the derivation 𝒟. From this, we study periodic orbits of a linear flow on noncompact, semisimple Lie groups, and we work with periodic orbits of a linear flow on a connected, simply connected, solvable Lie groups of dimension 2 or 3.

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Published

2023-05-10

How to Cite

[1]
S. N. Stelmastchuk, “Periodic orbits of Linear flows on connected Lie groups”, Proyecciones (Antofagasta, On line), vol. 42, no. 3, pp. 663-680, May 2023.

Issue

Section

Artículos