科尔维诺-肖恩双曲胶合的博戈夫斯基ǐ型算子

arXiv - MATH - Differential Geometry Pub Date : 2024-09-10 DOI:arxiv-2409.07502

Piotr T. Chruściel, Albachiara Cogo, Andrea Nützi

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引用次数: 0

摘要

我们为空间维度大于或等于二的双曲空间线性化恒定标量曲率方程构建了一个解算子。该解算子具有良好的支持传播特性，并获得了相对于标准规范的两个二乘法。它可用于 Corvino-Schoen 型双曲胶合，部分地将最近引入的毛-奥-陶胶合方法扩展到双曲环境。

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A Bogovskiǐ-type operator for Corvino-Schoen hyperbolic gluing

We construct a solution operator for the linearized constant scalar curvature equation at hyperbolic space in space dimension larger than or equal to two. The solution operator has good support propagation properties and gains two derivatives relative to standard norms. It can be used for Corvino-Schoen-type hyperbolic gluing, partly extending the recently introduced Mao-Oh-Tao gluing method to the hyperbolic setting.

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arXiv - MATH - Differential Geometry

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