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Aug 16, 2020 at 21:33 comment added Gabe K My understanding of the Deturck trick is that you conjugate Ricci flow by a time-dependent diffeomorphism which produces a parabolic flow (and so bypasses the need for Hamilton's technical proof of existence). If Deturck used this type of idea elsewhere, it would be a good answer for this question.
Aug 16, 2020 at 18:12 comment added Hollis Williams As far as I'm aware, the DeTurck trick was something particular to Ricci flow, I think the trick has found other uses since then, although I can't remember if its used elsewhere by him (wouldn't surprise me if it was though).
Jun 19, 2020 at 19:09 comment added Gabe K Thanks. As far as named tricks go with the Ricci flow, there's also the Deturck trick. I'm not sure how that fits into his larger body of work so I didn't mention it in the answer.
Jun 18, 2020 at 17:54 comment added Jon Bannon You are right! I have removed the word "favorite" from the body of the question. The idea is, though, to associate mathematicians to the tools they tend to use and the way they used these tools. It would be very funny to claim that a trick was among someone's favorites and for that person to find out about it via that claim. Thank you for the nice answer.
S Jun 18, 2020 at 17:40 history answered Gabe K CC BY-SA 4.0
S Jun 18, 2020 at 17:40 history made wiki Post Made Community Wiki by Gabe K