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A rigidity estimate for maps from S2 to S2 via the harmonic map flow
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Topping, Peter (2023) A rigidity estimate for maps from S2 to S2 via the harmonic map flow. Bulletin of the London Mathematical Society, 55 (1). pp. 338-343. doi:10.1112/blms.12731 ISSN 0024-6093 .
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Official URL: https://doi.org/10.1112/blms.12731
Abstract
We show how a rigidity estimate introduced in recent work of Bernand-Mantel, Muratov and Simon can be derived using the harmonic map flow. The estimate controls how far a degree one map between 2-spheres can be from a Möbius map in terms of its energy, irrespective of whether or not the map has small tension.
| 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): | Harmonic maps, Rigidity (Geometry), Möbius transformations | ||||||||
| Journal or Publication Title: | Bulletin of the London Mathematical Society | ||||||||
| Publisher: | Wiley | ||||||||
| ISSN: | 0024-6093 | ||||||||
| Official Date: | February 2023 | ||||||||
| Dates: |
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| Volume: | 55 | ||||||||
| Number: | 1 | ||||||||
| Page Range: | pp. 338-343 | ||||||||
| DOI: | 10.1112/blms.12731 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Reuse Statement (publisher, data, author rights): | "This is the peer reviewed accepted version of the following article:Topping, P.M. (2022), A rigidity estimate for maps from to via the harmonic map flow. Bull. London Math. Soc., which has been published in final form at https://doi.org/10.1112/blms.12731. 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 | ||||||||
| Copyright Holders: | © 2021 Bulletin of the London Mathematical Society is copyright © London Mathematical Society. | ||||||||
| Date of first compliant deposit: | 11 October 2021 | ||||||||
| Date of first compliant Open Access: | 13 October 2021 | ||||||||
| RIOXX Funder/Project Grant: |
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