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L-optimal transportation for Ricci flow

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Topping, Peter, 1971-. (2009) L-optimal transportation for Ricci flow. Journal fur die reine und angewandte Mathematik, Vol.2009 (No.636). pp. 93-122. 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
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
Date:	November 2009
Volume:	Vol.2009
Number:	No.636
Number of Pages:	30
Page Range:	pp. 93-122
Identification Number:	10.1515/CRELLE.2009.083
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access
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URI:	http://wrap.warwick.ac.uk/id/eprint/16773