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Nontrivial breathers for Ricci flow

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Topping, Peter (2023) Nontrivial breathers for Ricci flow. Bulletin of the London Mathematical Society, 55 (1). pp. 344-348. doi:10.1112/blms.12732 ISSN 0024-6093 .

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Official URL: https://doi.org/10.1112/blms.12732

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Abstract

Perelman has proved that there cannot exist a nontrivial breather for Ricci flow on a closed manifold. Here we construct nontrivial expanding breathers for Ricci flow in all dimensions when the underlying manifold is
allowed to be noncompact.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Ricci flow , Manifolds (Mathematics)
Journal or Publication Title: Bulletin of the London Mathematical Society
Publisher: Wiley-Blackwell Publishing Ltd.
ISSN: 0024-6093
Official Date: February 2023
Dates:
DateEvent
February 2023Published
14 September 2022Available
24 June 2022Accepted
Volume: 55
Number: 1
Page Range: pp. 344-348
DOI: 10.1112/blms.12732
Status: Peer Reviewed
Publication Status: Published
Reuse Statement (publisher, data, author rights):
Access rights to Published version: Open Access (Creative Commons)
Date of first compliant deposit: 5 July 2022
Date of first compliant Open Access: 5 July 2022
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
EP/T019824/1[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
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