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geometric flow
In mathematics, specifically differential geometry, a geometric flow is the gradient flow associated to a functional on a manifold which has a geometric interpretation, usually associated with some extrinsic or intrinsic curvature. They can be interpreted as flows on a moduli space (for intrinsic flows) or a parameter space (for extrinsic flows).
These are of fundamental interest in the calculus of variations, and include several famous problems and theories.
Particularly interesting are their critical points.
A geometric flow is also called a geometric evolution equation.
==Examples==
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