Path independence refers to a property of a function or a process where the outcome does not depend on the specific path taken, but only on the initial and final points. This concept is crucial in Riemannian Geometry, especially when discussing how certain geometric quantities, like parallel transport, behave along curves. If a process is path-independent, it implies that the result is the same regardless of how one traverses from point A to point B, highlighting the intrinsic nature of the geometric structures involved.
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