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L-optimal transportation for Ricci flow
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Topping, Peter (2009) L-optimal transportation for Ricci flow. Journal fur die reine und angewandte Mathematik, Vol.2009 (No.636). pp. 93-122. doi:10.1515/CRELLE.2009.083
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Official URL: http://dx.doi.org/10.1515/CRELLE.2009.083
Abstract
We introduce the notion of L-optimal transportation, and use it to construct a natural monotonic quantity for Ricci flow which includes a selection of other monotonicity results, including some key discoveries of Perelman [13] (both related to entropy and to L-length) and a recent result of McCann and the author [11].
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science > Mathematics | ||||
| Library of Congress Subject Headings (LCSH): | Ricci flow | ||||
| Journal or Publication Title: | Journal fur die reine und angewandte Mathematik | ||||
| Publisher: | Walter de Gruyter & Co | ||||
| ISSN: | 0075-4102 | ||||
| Official Date: | November 2009 | ||||
| Dates: |
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| Volume: | Vol.2009 | ||||
| Number: | No.636 | ||||
| Number of Pages: | 30 | ||||
| Page Range: | pp. 93-122 | ||||
| DOI: | 10.1515/CRELLE.2009.083 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Open Access |
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