Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6425666 | Advances in Mathematics | 2014 | 31 Pages |
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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Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Nicola Gigli, Carlo Mantegazza,