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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 ISSN 0075-4102.
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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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > 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 (Creative Commons) |
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