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arXiv · 1503.02350

The isoperimetric inequality on asymptotically flat manifolds with nonnegative scalar curvature

Yuguang Shi
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Abstract

In this note, we consider the isoperimetric inequality on an asymptotically flat manifold with nonnegative scalar curvature, and improve it by using Hawking mass. We also obtain a rigidity result when equality holds for the classical isoperimetric inequality on an asymptotically flat manifold with nonnegative scalar curvature.

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Yuguang Shi. 2015-12-31. The isoperimetric inequality on asymptotically flat manifolds with nonnegative scalar curvature. https://doi.org/10.1093/imrn%2Frnv395

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