Calculus of Variations and Geometric Measure Theory
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R. Haslhofer - R. Buzano

A note on the compactness theorem for 4d Ricci shrinkers

created by muller on 12 Jun 2018



Inserted: 12 jun 2018
Last Updated: 12 jun 2018

Year: 2014

ArXiv: 1407.1683 PDF

Note name change of one author from Reto Müller to Reto Buzano in 2015. Please cite as Haslhofer-Müller. Name changed here in order to import to author page correctly.


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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