L^N中等距可嵌入的Lorentz流形
Lorentzian manifolds isometrically embeddable in L^N
摘要：
我们刻画了在某个洛伦兹-闵可夫斯基空间L^N中允许等距（或共形）嵌入的时空。特别是，任何全局双曲时空都可以等距嵌入L^N中。这是证明了自己的利益的结果：一个光滑的时间函数的梯度是有界的远离零的建设，因此，一个正交的全球分裂的时空有界的推移。强调了所谓的“民间问题对顺利性”的作用。
英文摘要：
We characterize those spacetimes which admit a isometric (or conformal) embedding in some Lorentz-Minkowski space L^N. In particular, any globally hyperbolic spacetime can be isometrically embedded in L^N. This is proven by a result of its own interest: the construction of a smooth time function whose gradient is bounded away from zero -and, thus, an orthogonal global splitting of the spacetime with bounded lapse. The role of the so-called "folk problems on smoothability" is stressed.
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。
