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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. 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

Official Date:

November 2009

Dates:

Date	Event
November 2009	Published

Volume:

Vol.2009

Number:

No.636

Number of Pages:

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

References:

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