Symmetries of vector fields: the diffeomorphism centralizer
Dynamical Systems
2019-03-15 v1
Abstract
In this paper we study the diffeomorphism centralizer of a vector field: given a vector field it is the set of diffeomorphisms that commutes with the flow. Our main theorem states that for a -generic diffeomorphism having at most finitely many sinks or sources, the diffeomorphism centralizer is quasi-trivial. In certain cases, we can promote the quasi-triviality to triviality. We also obtain a criterion for a diffeomorphism in the centralizer to be a reparametrization of the flow.
Cite
@article{arxiv.1903.05883,
title = {Symmetries of vector fields: the diffeomorphism centralizer},
author = {Davi Obata},
journal= {arXiv preprint arXiv:1903.05883},
year = {2019}
}
Comments
15 pages