Are Riemannian Geometry and Differential topology the same thing?

Asked Jan 21 '19 at 09:46

Active Jan 21 '19 at 09:49

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I'm not an expert on the subject, but I was wondering what's the difference between "Riemannian Geometry" and "Differential topology". To me the names suggest they're different things, but looking through some of the books preview they seem to have similar content.

Can anyone clarify? Is maybe one a subset of the other? What sorts of problems do they allow to solve that the other doesn't etc.

edited Jan 21 '19 at 09:49

Giuseppe Negro

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asked Jan 21 '19 at 09:46

user8469759

5,285

@DietrichBurde I don't think "differential geometry" and "Reimannian Geometry" are the same thing. – user8469759 Jan 21 '19 at 09:52
Like the OP says in the duplicate: "Introduction to differential geometry (for me it should be called introduction to Riemannian manifolds)." So I think the very nice answers there are interesting for this question too, and worth reading. – Dietrich Burde Jan 21 '19 at 09:54
In addition to the link, you deserve a 1-word answer: "No" – Jan 21 '19 at 14:55
@MikeMiller "no" to which question? I've asked 2 questions. – user8469759 Jan 21 '19 at 16:46
@user8469759: No on both questions. – Moishe Kohan Jan 21 '19 at 21:55

Are Riemannian Geometry and Differential topology the same thing?

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