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arXiv · 2305.03135

Propagation of symmetries for Ricci shrinkers

Tobias Holck Colding·William P. Minicozzi II
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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.

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Tobias Holck Colding, William P. Minicozzi II. 2023-05-04. Propagation of symmetries for Ricci shrinkers. https://arxiv.org/abs/2305.03135

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