Propagation of symmetries for Ricci shrinkers

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.

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Published in:Advanced nonlinear studies 2023-06, Vol.23 (1), p.37-55
Main Authors: Colding, Tobias Holck, Minicozzi II, William P.
Format: Article
Language:English
Subjects:
53E20
Ricci flow
solitons
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description 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.
doi_str_mv 10.1515/ans-2022-0071
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subjects 53E20
Ricci flow
solitons
title Propagation of symmetries for Ricci shrinkers
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