The chain recurrent set of flow of automorphisms on a decomposable Lie group

2025/01/06 by Adriano Da Silva, Da Silva, Adriano, Jhon Eddy Pariapaza Mamani +1
Mathematics · #22E15 #37B20 #37C10 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2501.03177

openalex publication_date 2025/01/06 · openalex created_date 2025/01/08 · openalex updated_date 2026/07/28

Abstract

In this paper we show that the chain recurrent set of a flow of automorphisms on a connected Lie group coincides with the central subgroup of the flow, if the group is decomposable. Moreover, in the decomposable case, the flow satisfies the restriction property. Furthermore, the restriction of any flow of automorphisms to the connected component of the identity of its central subgroup is chain transitive.

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