A mechanics for the Ricci flow
classification
✦ hep-th
keywords
mechanicsequationflowricciassociatedboundaryclassicalcompact
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We construct the classical mechanics associated with a conformally flat Riemannian metric on a compact, n-dimensional manifold without boundary. The corresponding gradient Ricci flow equation turns out to equal the time-dependent Hamilton-Jacobi equation of the mechanics so defined.
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