Calculus of Variations and Geometric Measure Theory
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N. Gigli - C. Mantegazza

A Flow Tangent to the Ricci Flow via Heat Kernels and Mass Transport

created by root on 29 Aug 2012
modified on 31 Jan 2014


Published Paper

Inserted: 29 aug 2012
Last Updated: 31 jan 2014

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


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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