关于渐近反de Sitter初始数据的广义Jang方程解的存在性和性质

IF 0.7 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2025-08-04 DOI:10.1007/s10455-025-10013-4

Benjamin Meco

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引用次数: 0

摘要

对于一类非常一般的渐近问题，我们对在\(3\le n \le 7\)维的反德西特时空的常数时间片上的渐近反德西特设置中的广义Jang方程进行了严格的分析。讨论了渐近反德西特初始数据集的时空正质量定理的潜在应用。

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On the existence and properties of solutions of the generalized Jang equation with respect to asymptotically anti-de Sitter initial data

We provide a rigorous analysis of the generalized Jang equation in the asymptotically anti-de Sitter setting modelled on constant time slices of anti-de Sitter spacetimes in dimensions \(3\le n \le 7\) for a very general class of asymptotics. Potential applications to spacetime positive mass theorems for asymptotically anti-de Sitter initial data sets are discussed.

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来源期刊

Annals of Global Analysis and Geometry 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field. The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.