Propagation of symmetries for Ricci shrinkers
Name
10.1515_ans-2022-0071.pdf
Description
Published version
Size
2.48 MB
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Adobe PDF
Checksum (MD5)
1678dd8dcc98e30d3fac5384b0293966
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
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DOI of Published Version
https://doi.org/10.1515/ans-2022-0071