Journal article
Improved pseudolocality on large hyperbolic balls
- Abstract:
- We obtain an improved pseudolocality result for Ricci flows on two-dimensional surfaces that are initially almost-hyperbolic on large hyperbolic balls. We prove that, at the central point of the hyperbolic ball, the Gauss curvature remains close to the hyperbolic value for a time that grows exponentially in the radius of the ball. This two-dimensional result allows us to precisely conjecture how the phenomenon should appear in the higher dimensional setting.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
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(Preview, Accepted manuscript, pdf, 394.6KB, Terms of use)
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- Publisher copy:
- 10.4310/CAG.2022.v30.n10.a4
Authors
- Publisher:
- International Press
- Journal:
- Communications in Analysis and Geometry More from this journal
- Volume:
- 30
- Issue:
- 10
- Pages:
- 2285-2314
- Publication date:
- 2023-09-29
- Acceptance date:
- 2020-07-01
- DOI:
- EISSN:
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1944-9992
- ISSN:
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1019-8385
- Language:
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English
- Keywords:
- Pubs id:
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1131909
- Local pid:
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pubs:1131909
- Deposit date:
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2020-09-12
Terms of use
- Copyright holder:
- McLeod, AD
- Copyright date:
- 2023
- Rights statement:
- © The Author(s) 2023.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from International Press at https://dx.doi.org/10.4310/CAG.2022.v30.n10.a4
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