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In lagrangian mechanics Is the path that take a System in the configuration space between initial and final state is identical to the geodesic which connect the two points?

Qmechanic
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John Patrikov
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1 Answers1

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I think this will depend upon the details of the actual action. In many common cases it will be.

Moreover, we require the configuration manifold to be at least a pseudo-Riemannian manifold in order to even define the notion of a geodesic.

Mozibur Ullah
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