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math.DG2010★ 92 cited
A compactness theorem for complete Ricci shrinkers
Robert Haslhofer, Reto Müller
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 n…
math.DG2010
Perelman's lambda-functional and the stability of Ricci-flat metrics
Robert Haslhofer
In this article, we introduce a new method (based on Perelman's lambda-functional) to study the stability of compact Ricci-flat metrics. Under the assumption that all infinitesimal…