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Propagation of symmetries for Ricci shrinkers

Author(s)
Colding, Tobias Holck; Minicozzi II, William P
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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.
Date issued
2023-06-13
URI
https://hdl.handle.net/1721.1/165305
Department
Massachusetts Institute of Technology. Department of Mathematics
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

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