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===Manifold/fiber bundle derivation===
Suppose we have an ''n''-dimensional oriented [[Riemannian manifold]], ''M'' and a target manifold ''T''. Let <math>\mathcal{C}</math> be the [[Configuration space (physics)|configuration space]] of [[smooth function]]s from ''M'' to ''T''. (More generally, we can have smooth sections of a [[fiber bundle]] ''T'' over ''M''.)
Examples of this ''M'' in physics include:
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