Periodic orbits of Linear flows on connected Lie groups
Author
Stelmastchuk, Simão Nicolau
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/526110.22199/issn.0717-6279-5261
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.