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arXiv · 1407.1683

A note on the compactness theorem for 4d Ricci shrinkers

Robert Haslhofer·Reto Müller
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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.

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Robert Haslhofer, Reto Müller. 2014-07-07. A note on the compactness theorem for 4d Ricci shrinkers. https://doi.org/10.1090/proc/12648

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