The Library
Time zero regularity of Ricci flow
Tools
Tools
Tools
Lee, Man-Chun and Topping, Peter (2022) Time zero regularity of Ricci flow. International Mathematics Research Notices . doi:10.1093/imrn/rnac300 ISSN 1073-7928. (In Press)
|
PDF
WRAP-time-zero-regularity-Ricci-flow-Topping-2022.pdf - Accepted Version - Requires a PDF viewer. Download (471Kb) | Preview |
Official URL: https://doi.org/10.1093/imrn/rnac300
Abstract
We consider the problem of when a smooth Ricci flow, for positive time, that attains smooth initial data in a weak sense must be smooth down to the initial time. We obtain curvature estimates for an example where this fails that was given in [26]. We prove a positive result in the case that the flow satisfies a lower \ensuremathKIC1 curvature bound, equivalent to a lower Ricci bound in three dimensions. As an application, we prove that Gromov–Hausdorff limits of WPIC1 manifolds are WPIC1.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Journal or Publication Title: | International Mathematics Research Notices | ||||||
| Publisher: | Oxford University Press | ||||||
| ISSN: | 1073-7928 | ||||||
| Official Date: | 1 November 2022 | ||||||
| Dates: |
|
||||||
| DOI: | 10.1093/imrn/rnac300 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | In Press | ||||||
| Reuse Statement (publisher, data, author rights): | This is a pre-copyedited, author-produced version of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record Man-Chun Lee, Peter M Topping, Time Zero Regularity of Ricci Flow, International Mathematics Research Notices, 2022;, rnac300 is available online at: https://doi.org/10.1093/imrn/rnac300 | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Date of first compliant deposit: | 1 November 2022 | ||||||
| Date of first compliant Open Access: | 1 November 2023 | ||||||
| RIOXX Funder/Project Grant: |
|
||||||
| Related URLs: | |||||||
| Open Access Version: |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
