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A relative entropy and a unique continuation result for Ricci expanders
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Schulze, Felix and Deruelle, Alix (2023) A relative entropy and a unique continuation result for Ricci expanders. Communications on Pure and Applied Mathematics, 76 (10). pp. 2613-2692. doi:10.1002/cpa.22086 ISSN 0010-3640.
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Official URL: https://doi.org/10.1002/cpa.22086
Abstract
We prove an optimal relative integral convergence rate for two expanding gradient Ricci solitons coming out of the same cone. As a consequence, we obtain a unique continuation result at infinity and prove that a relative entropy for two such self-similar solutions to the Ricci flow is well-defined. © 2022 Wiley Periodicals LLC.
| Item Type: | Journal Article | |||||||||
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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 , Geometry, Differential, Differential equations, Partial | |||||||||
| Journal or Publication Title: | Communications on Pure and Applied Mathematics | |||||||||
| Publisher: | John Wiley & Sons | |||||||||
| ISSN: | 0010-3640 | |||||||||
| Official Date: | October 2023 | |||||||||
| Dates: |
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| Volume: | 76 | |||||||||
| Number: | 10 | |||||||||
| Page Range: | pp. 2613-2692 | |||||||||
| DOI: | 10.1002/cpa.22086 | |||||||||
| Status: | Peer Reviewed | |||||||||
| Publication Status: | Published | |||||||||
| Reuse Statement (publisher, data, author rights): | This is the pre-peer reviewed version of the following article: Deruelle, A. and Schulze, F. (2022), A Relative Entropy and a Unique Continuation Result for Ricci Expanders. Comm. Pure Appl. Math., which has been published in final form at https://doi.org/10.1002/cpa.22086. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. | |||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||
| Date of first compliant deposit: | 31 August 2022 | |||||||||
| Date of first compliant Open Access: | 27 October 2023 | |||||||||
| RIOXX Funder/Project Grant: |
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