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I'm not sure if this belongs better here or in mechanics but while I was doing some mechanics problems I started wondering if Lagrange equations are true for any differential manifold.

Obviously they work for pseudo-riemann ones (general relativity) but do they work for others (all)?

I got no real knowledge of the math behind at all just wondered, since they work for relativistic particles, in what geometry they do and don't work.

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# Euler-Lagrange equations

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