A note on the compactness theorem for 4d Ricci shrinkers
Differential Geometry
2015-10-14 v1
Abstract
In arXiv:1005.3255 we proved an orbifold Cheeger-Gromov compactness theorem for complete 4d Ricci shrinkers with a lower bound for the entropy, an upper bound for the Euler characterisic, and a lower bound for the gradient of the potential at large distances. In this note, we show that the last two assumptions in fact can be removed. The key ingredient is a recent estimate of Cheeger-Naber arXiv:1406.6534.
Cite
@article{arxiv.1407.1683,
title = {A note on the compactness theorem for 4d Ricci shrinkers},
author = {Robert Haslhofer and Reto Müller},
journal= {arXiv preprint arXiv:1407.1683},
year = {2015}
}