论文标题

渐近双曲机设置中的jang方程和正质量定理

The Jang equation and the positive mass theorem in the asymptotically hyperbolic setting

论文作者

Sakovich, Anna

论文摘要

我们求解了JANG方程相对于渐近双曲线“倍曲面”初始数据。将结果应用于在渐近双曲机环境中的非旋转质量定理的非旋转证明。这项工作的重点是空间维度等于三个的情况。

We solve the Jang equation with respect to asymptotically hyperbolic "hyperboloidal" initial data. The results are applied to give a non-spinor proof of the positive mass theorem in the asymptotically hyperbolic setting. This work focuses on the case when the spatial dimension is equal to three.

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