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Loss of initial data under limits of Ricci flows
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Topping, Peter (2021) Loss of initial data under limits of Ricci flows. In: Minimal surfaces : integrable systems and visualisation, Leicester, 2-6 Sep 2019. Published in: Minimal Surfaces: Integrable Systems and Visualisation : m:iv Workshops, 2016–19, 349 pp. 257-261. ISBN 9783030685409. doi:10.1007/978-3-030-68541-6 ISSN 2194-1009.
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WRAP-loss-initial-data-under-limits-Ricci-flows-Topping-2019.pdf - Accepted Version - Requires a PDF viewer. Download (790Kb) | Preview |
Official URL: http://dx.doi.org/10.1007/978-3-030-68541-6
Abstract
We construct a sequence of smooth Ricci flows on $T^2$, with standard uniform $C/t$ curvature decay, and with initial metrics converging to the standard flat unit-area square torus $g_0$ in the Gromov-Hausdorff sense, with the property that the flows themselves converge not to the static Ricci flow $g(t)\equiv g_0$, but to the static Ricci flow $g(t)\equiv 2g_0$ of twice the area.
| Item Type: | Conference Item (Paper) | ||||||
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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 , Riemannian manifolds | ||||||
| Series Name: | Springer Proceedings in Mathematics & Statistics | ||||||
| Journal or Publication Title: | Minimal Surfaces: Integrable Systems and Visualisation : m:iv Workshops, 2016–19 | ||||||
| Publisher: | Springer International Publishing | ||||||
| ISBN: | 9783030685409 | ||||||
| ISSN: | 2194-1009 | ||||||
| Official Date: | 2021 | ||||||
| Dates: |
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| Volume: | 349 | ||||||
| Page Range: | pp. 257-261 | ||||||
| DOI: | 10.1007/978-3-030-68541-6 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Date of first compliant deposit: | 1 July 2019 | ||||||
| Date of first compliant Open Access: | 23 February 2021 | ||||||
| Conference Paper Type: | Paper | ||||||
| Title of Event: | Minimal surfaces : integrable systems and visualisation | ||||||
| Type of Event: | Workshop | ||||||
| Location of Event: | Leicester | ||||||
| Date(s) of Event: | 2-6 Sep 2019 | ||||||
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