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A mass-decreasing flow in dimension three
mass-decreasing flow dimension three Differential Geometry
2011/9/13
Abstract: In this article, we introduce a mass-decreasing flow for asymptotically flat three-manifolds with nonnegative scalar curvature. This flow is defined by iterating a suitable Ricci flow with s...
Mass-capacity inequalities for conformally flat manifolds with boundary
Mass-capacity inequalities conformally flat manifolds boundary
2011/8/29
Abstract: In this paper we prove a mass-capacity inequality and a volumetric Penrose inequality for conformally flat manifolds, in arbitrary dimensions. As a by-product of the proofs, capacity and Ale...
Geometric invariance of mass-like asymptotic invariants
Geometric invariance mass-like asymptotic invariants
2011/2/22
We study coordinate-invariance of some asymptotic invariants such as the ADM mass or the
Chruściel-Herzlich momentum, given by an integral over a “boundary at infinity”. When changing the coordi...
