渐近平坦半空间中曲面的容量

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2025-04-21 DOI:10.1007/s11005-025-01928-x

Daniel Silva

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引用次数: 0

摘要

本文的目的是建立具有非负标量曲率和平均凸边界的三维渐近平坦半空间中曲面容量的上界。如果等式成立，我们给出了一个涉及半史瓦西空间的刚性结果。为了证明我们的结果，我们在有边界的超曲面上使用了平均曲率流的逆。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the capacity of surfaces in asymptotically flat half-space

The purpose of this work is to establish an upper bound for the capacity of the surface in a three-dimensional asymptotically flat half-space with nonnegative scalar curvature and mean convex boundary. If the equality holds, we show a rigidity result involving the half-Schwarzschild space. In order to prove our result we use the inverse of mean curvature flow for hypersurfaces with boundary.

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.