Geometry & Topology
- Geom. Topol.
- Volume 22, Number 3 (2018), 1837-1891.
Ricci flow on asymptotically Euclidean manifolds
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.
Geom. Topol., Volume 22, Number 3 (2018), 1837-1891.
Received: 9 December 2016
Revised: 15 May 2017
Accepted: 15 June 2017
First available in Project Euclid: 31 March 2018
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Li, Yu. Ricci flow on asymptotically Euclidean manifolds. Geom. Topol. 22 (2018), no. 3, 1837--1891. doi:10.2140/gt.2018.22.1837. https://projecteuclid.org/euclid.gt/1522461628