Work

A note on the compactness theorem for 4d Ricci shrinkers

Year: 2015

Type: article

Abstract: In a previous work published in 2011, 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 characteristic, 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 (2014).

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/proc/12648

Authors: Robert Haslhofer, Reto Müller

Institutions: Courant Institute of Mathematical Sciences, New York University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1865749756

FWCI: 4.534

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Cited by: 21

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