Published Paper
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Inserted: 29 aug 2012
Last Updated: 9 nov 2026

Journal: Advances in Math.
Volume: 250
Pages: 74-104
Year: 2014

Abstract:

We present a new relation between the short time behavior of the heat flow, the geometry of optimal transport and the Ricci flow. We also show how this relation can be used to define an evolution of metrics on non-smooth metric measure spaces with Ricci curvature bounded from below.

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• Ricci-Heat-Transport.pdf