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Oct 3, 2023 at 13:50 vote accept Asvin
Oct 3, 2023 at 9:39 answer added Ben McKay timeline score: 3
Oct 2, 2023 at 19:55 comment added Asvin @DanielShapero That assumption was motivated by the application in mind although perhaps the answer will turn out to be more general.
Oct 2, 2023 at 19:55 history edited Asvin CC BY-SA 4.0
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Oct 2, 2023 at 16:05 comment added Daniel Shapero Your stipulation of finite time seems unusual and not necessary to the rest of the problem. Taking $M$ to be Euclidean space and $f(x) = |x|^2$, you only get convergence of the gradient flow $\dot x = -\nabla f$ to the minimizer $x = 0$ from an arbitrary starting point in the limit as time grows infinite.
Oct 2, 2023 at 14:59 comment added Joseph Van Name Shouldn't the symmetries in $G$ also preserve the Riemannian structure on $M$?
Oct 2, 2023 at 10:28 history asked Asvin CC BY-SA 4.0