The space of continuous time symmetries of a flow consists of the space of flows commuting with . We prove that -generic singular Axiom A flows on three-dimensional manifolds, -generic Axiom A flows in arbitrary dimension and -generic flows on surfaces have trivial symmetries, that is, any flow commuting with any of the latter is a constant reparametrization of it.
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Wescley Bonomo, Paulo Varandas, -generic sectional Axiom A flows have only trivial symmetries. Port. Math. 76 (2019), no. 1, pp. 29–48DOI 10.4171/PM/2025