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math.DG2011★ 2 cited
On large volume preserving stable constant mean curvature surfaces in asymptotically flat manifolds
Michael Eichmair, Jan Metzger
Let (M,g) be a complete 3-dimensional asymptotically flat manifold with everywhere positive scalar curvature. We prove that, given a compact subset K of M, all volume preserving st…
math.DG2011
Large isoperimetric surfaces in initial data sets
Michael Eichmair, Jan Metzger
We study the isoperimetric structure of asymptotically flat Riemannian 3-manifolds (M,g) that are C^0-asymptotic to Schwarzschild of mass m>0. Refining an argument due to H. Bray w…