平均凸三网格中自由边界最小盘的刚性

The Journal of Geometric Analysis Pub Date : 2024-06-28 DOI:10.1007/s12220-024-01727-1

Rondinelle Batista, Barnabé Lima, João Silva

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引用次数: 0

摘要

本文的目的是研究自由边界极小二盘的刚性，它能局部最大化具有正下限标量曲率和平均凸边界的黎曼三芒星上的修正霍金质量。假设\(\Sigma \)严格稳定，我们证明它在M中的一个邻域与半德西特-施瓦兹柴尔德空间的一个邻域等距。

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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Rigidity of Free Boundary Minimal Disks in Mean Convex Three-Manifolds

The purpose of this article is to study rigidity of free boundary minimal two-disks that locally maximize the modified Hawking mass on a Riemannian three-manifold with a positive lower bound on its scalar curvature and mean convex boundary. Assuming the strict stability of \(\Sigma \), we prove that a neighborhood of it in M is isometric to one of the half de Sitter–Schwarzschild space.

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The Journal of Geometric Analysis

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