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

A compactness theorem for complete Ricci shrinkers

created by muller on 12 Jun 2018

[BibTeX]

preprint

Inserted: 12 jun 2018
Last Updated: 12 jun 2018

Year: 2010

ArXiv: 1005.3255 PDF
Notes:

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.


Abstract:

We prove precompactness in an orbifold Cheeger-Gromov sense of complete gradient Ricci shrinkers with a lower bound on their entropy and a local integral Riemann bound. We do not need any pointwise curvature assumptions, volume or diameter bounds. In dimension four, under a technical assumption, we can replace the local integral Riemann bound by an upper bound for the Euler characteristic. The proof relies on a Gauss-Bonnet with cutoff argument.

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