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arXiv · 2305.03643

Isoperimetric sets in nonnegative scalar curvature and their role through various concepts of mass

Luca Benatti·Mattia Fogagnolo
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Abstract

We review some recent results about the relations among isoperimetric sets, Penrose inequalities and related concepts in the analysis of $3$-manifolds of nonnegative scalar curvature. We also show that if the isoperimetric sets of big volume have connected boundaries, the equivalence among suitable notions of mass hold.

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Luca Benatti, Mattia Fogagnolo. 2023-05-05. Isoperimetric sets in nonnegative scalar curvature and their role through various concepts of mass. https://arxiv.org/abs/2305.03643

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