Ricci flow on asymptotically Euclidean manifolds

Yu Li

doi:10.2140/gt.2018.22.1837

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Home > Journals > Geom. Topol. > Volume 22 > Issue 3 > Article

2018 Ricci flow on asymptotically Euclidean manifolds

Yu Li

Geom. Topol. 22(3): 1837-1891 (2018). DOI: 10.2140/gt.2018.22.1837

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Abstract

In this paper, we prove that if an asymptotically Euclidean manifold with nonnegative scalar curvature has long-time existence of Ricci flow, the ADM mass is nonnegative. We also give an independent proof of the positive mass theorem in dimension three.