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Rate of curvature decay for the contracting cusp Ricci flow
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Topping, Peter and Yin, Hao (2020) Rate of curvature decay for the contracting cusp Ricci flow. Communications in Analysis and Geometry, 28 (5). pp. 1221-1250. doi:10.4310/CAG.2020.v28.n5.a3 ISSN 1019-8385.
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Official URL: https://dx.doi.org/10.4310/CAG.2020.v28.n5.a3
Abstract
We prove that the Ricci flow that contracts a hyperbolic cusp has curvature decay maxK∼1t2. In order to do this, we prove a new Li–Yau type differential Harnack inequality for Ricci flow.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Journal or Publication Title: | Communications in Analysis and Geometry | ||||||
| Publisher: | International Press | ||||||
| ISSN: | 1019-8385 | ||||||
| Official Date: | 14 October 2020 | ||||||
| Dates: |
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| Volume: | 28 | ||||||
| Number: | 5 | ||||||
| Page Range: | pp. 1221-1250 | ||||||
| DOI: | 10.4310/CAG.2020.v28.n5.a3 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Date of first compliant deposit: | 7 February 2018 | ||||||
| Date of first compliant Open Access: | 20 October 2020 | ||||||
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