Periodic orbits of Linear flows on connected Lie groups


  • Simão Nicolau Stelmastchuk Universidade Federal do Paraná.



periodic orbits, linear flows, connected Lie groups


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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How to Cite

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.