I would like to get more clearly if there is a relation between those topics in the sense I am about to describe.
I've been briefly studying integral curves, flows, and one-parameter groups of diffeomorphisms on manifolds for a General Relativity course, related to Killing Vector Fields. Since the study of dynamical systems also deals with flows, I was wondering in what ways can we trace parallels between those areas.
I apologize if this is something trivial, I just wanted to have some brainstorming ideas of interesting topics to study relating those subjects. Feel free to just make any observations.