Propagation of symmetries for Ricci shrinkers
Differential Geometry
2023-05-08 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.2305.03135,
title = {Propagation of symmetries for Ricci shrinkers},
author = {Tobias Holck Colding and William P. Minicozzi},
journal= {arXiv preprint arXiv:2305.03135},
year = {2023}
}