Geodesic
A note on Ricci flow and optimal transportation
Journal of the European Mathematical Society, Tome 13 (2011) no. 1, pp. 249-258
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We describe a new link between Perelman’s monotonicity formula for the reduced volume and ideas from optimal transport theory.
DOI : 10.4171/jems/251
Classification : 53-XX, 49-XX, 00-XX
Keywords: Ricci flow, reduced volume, optimal transportation 
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     author = {Simon Brendle},
     title = {A note on {Ricci} flow and optimal transportation},
     journal = {Journal of the European Mathematical Society},
     pages = {249--258},
     year = {2011},
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     number = {1},
     doi = {10.4171/jems/251},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/251/}
}
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Simon Brendle. A note on Ricci flow and optimal transportation. Journal of the European Mathematical Society, Tome 13 (2011) no. 1, pp. 249-258. doi: 10.4171/jems/251

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