| | |
| | |
Stat |
Members: 3645 Articles: 2'502'364 Articles rated: 2609
23 April 2024 |
|
| | | |
|
Article overview
| |
|
Smooth globally hyperbolic splittings and temporal functions | Antonio N. Bernal
; Miguel Sánchez
; | Date: |
20 Apr 2004 | Subject: | General Relativity and Quantum Cosmology; Differential Geometry | gr-qc math.DG | Abstract: | Geroch’s theorem about the splitting of globally hyperbolic spacetimes is a central result in global Lorentzian Geometry. Nevertheless, this result was obtained at a topological level, and the possibility to obtain a metric (or, at least, smooth) version has been controversial since its publication in 1970. In fact, this problem has remained open until a definitive proof, recently provided by the authors. Our purpose is to summarize the history of the problem, explain the smooth and metric splitting results (including smoothability of time functions in stably causal spacetimes), and sketch the ideas of the solution. | Source: | arXiv, gr-qc/0404084 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |