关于不变时态函数的一个注记
A note on invariant temporal functions
摘要:
本文的目的是提出一个结果的存在性柯西时间函数不变的作用下,一个紧凑的一组共形变换在任意整体双曲流形。此外,以往关于任意整体双曲流形上具有附加性质的Cauchy时间函数的存在性的结果被统一为一个完全一般的定理。这篇文章写得尽可能独立,没有关于洛伦兹几何的先验知识。
英文摘要:
The purpose of this article is to present a result on the existence of Cauchy temporal functions invariant by the action of a compact group of conformal transformations in arbitrary globally hyperbolic manifolds. Moreover, the previous results about the existence of Cauchy temporal functions with additional properties on arbitrary globally hyperbolic manifolds are unified in a fully general theorem. The article is written as self-contained as possible, no prior knowledge on Lorentzian geometry is assumed.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。