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Propagation of symmetries for Ricci shrinkers

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sword-2026-04-02T14:32:37.original.xml (130 B)
Original SWORD entry document
Author(s)
Colding, Tobias Holck
•
Minicozzi II, William P
Date Issued
June 13, 2023
Journal
Advanced Nonlinear Studies
Publisher
Walter de Gruyter GmbH
Citation
Colding, Tobias Holck and Minicozzi II, William P.. "Propagation of symmetries for Ricci shrinkers" Advanced Nonlinear Studies, vol. 23, no. 1, 2023, pp. 2022007.
Version
Final published version
Abstract
We will show that if a gradient shrinking Ricci soliton has an approximate symmetry on one scale, this symmetry propagates to larger scales. This is an example of the shrinker principle which roughly states that information radiates outwards for shrinking solitons.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution
https://creativecommons.org/licenses/by/4.0/
Persistent DSpace Link
https://hdl.handle.net/1721.1/165305
DOI of Published Version
https://doi.org/10.1515/ans-2022-0071
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