论文标题
关于Minkowski空间中的Weyl问题
On the Weyl problem in Minkowski space
论文作者
论文摘要
令$ s $为双曲线类型的封闭表面。我们表明,对于每对$(g _+,g _-)$ $ s $的负弯曲度量的每对$ s $,存在独特的GHMC Minkowski SpaceTime $ x $,其中$(s,g _+)$和$(s,g _--)$(s,g _--)$ iSometrymetry上嵌入了Cauchy表面,将其分别嵌入了cauchy表面和过去的组合中。
Let $S$ be a closed surface of hyperbolic type. We show that, for every pair $(g_+,g_-)$ of negatively curved metrics over $S$ there exists a unique GHMC Minkowski spacetime $X$ into which $(S,g_+)$ and $(S,g_-)$ isometrically embed as Cauchy surfaces in the future and past components respectively.