Causal hierarchy of spacetimes, temporal functions and smoothness of Geroch's splitting. A revision
Causal hierarchy of spacetimes, temporal functions and smoothness of Geroch's splitting. A revision
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时空的因果层次、时间函数和 Geroch 分裂的平滑度。
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
Miguel Sánchez Caja
中科院分区：
文献类型：
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作者：
Miguel Sánchez Caja
在因果关系理论的英雄时代之后，关于时间函数的光滑性和柯西超曲面的问题仍然是民间尚未回答的问题。最近刚刚解决了这个问题，我们的目标是讨论这个主题的最新进展，包括对因果连续、稳定因果和全局双曲时空问题的独立证明。
After the heroic epoch of Causality Theory, problems concerning the smoothability of time functions and Cauchy hypersurfaces remained as unanswered folk questions. Just recently solved, our aim is to discuss the state of the art on this topic, including self-contained proofs for questions on causally continuous, stably causal and globally hyperbolic spacetimes.