关于长颈原理和初始数据集的宽度估计

IF 1 3区数学 Q1 MATHEMATICS

Mathematische Zeitschrift Pub Date : 2024-06-21 DOI:10.1007/s00209-024-03532-6

Daoqiang Liu

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引用次数: 0

摘要

在本文中，我们证明了在爱因斯坦方程一般初始数据集的背景下，边界的大地领邻域的长颈原理、带宽估计和宽度不等式，但须满足与黎曼流形上标量曲率下限相对应的某些能量条件。我们的结果是通过自旋卡利亚斯算子方法建立的。

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 long neck principle and width estimates for initial data sets

In this paper, we prove the long neck principle, band width estimates, and width inequalities of the geodesic collar neighborhoods of the boundary in the setting of general initial data sets for the Einstein equations, subject to certain energy conditions corresponding to the lower bounds of scalar curvature on Riemannian manifolds. Our results are established via the spinorial Callias operator approach.

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