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Dec 3, 2021 at 13:52 comment added Lee Mosher The theory of foliations is a gigantic field, and while there are some analogies with the theory of flows, understanding the analogies even in broad terms is going to be very difficult without any knowledge of the field. So I would suggest starting slowly, maybe with the Frobenius integrability theorem which you can read in many differential geometry/differential topology textbooks. I would suggest Spivak's "Differential Geometry", Volume 1, Chapter 6.
Dec 3, 2021 at 8:09 comment added user119197 @LeeMosher Thanks. I am not familiar with foliations. I would be appreciated if you could name some references.
Dec 3, 2021 at 8:07 comment added user119197 @RyanBudney I would like to ask whether there is some analogy for $\mathbb{R}^n$-flows. I want to know how the theory passes to high rank flows in general.
Dec 2, 2021 at 20:06 comment added Ryan Budney Your question seems rather vague to me. You are asking if a definition is good, but good for what purposes? What do you want to accomplish?
Dec 2, 2021 at 19:02 comment added Lee Mosher You might find some answers in the theory of foliations.
Dec 2, 2021 at 13:42 review Close votes
Dec 17, 2021 at 15:23
Dec 2, 2021 at 13:11 history asked user119197 CC BY-SA 4.0