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arXiv · 2008.13307

Isoperimetry for asymptotically flat 3-manifolds with positive ADM mass

Haobin Yu
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Abstract

Let $(M^3, g)$ be an asymptotically flat 3-manifold with positive ADM mass. In this paper, we show that each leaf of the canonical foliation is the unique isoperimetric surface for the volume it encloses. Our proof is based on the "fill-in" argument and sharp isoperimetric inequality on asymptotically flat 3-manifold with nonnegative scalar curvature.

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Haobin Yu. 2020-08-31. Isoperimetry for asymptotically flat 3-manifolds with positive ADM mass. https://arxiv.org/abs/2008.13307

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