Quasi-local Mass Functionals and Generalized Inverse Mean Curvature Flow

Abstract

Let M be an asymptotically flat 3-manifold with nonnegative scalar curvature. In [5] Hubert Bray defines a family of quasi-local mass functionals which are monotone for surfaces smoothly satisfying a certain generalization of inverse mean curvature flow in M . We show that a weak solution in the sense of Huisken-Ilmanen [8] exists for this flow and that the… (More)

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Cite this paper

@inproceedings{StreetsQuasilocalMF, title={Quasi-local Mass Functionals and Generalized Inverse Mean Curvature Flow}, author={Jeffrey Streets and Hubert L. Bray} }