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Foliations of globally hyperbolic spacetimes by CMC hypersurfaces
- Source :
-
Comptes Rendus. Mathématique . Feb2003, Vol. 336 Issue 3, p245. 6p. - Publication Year :
- 2003
-
Abstract
- We announce the following result: every maximal globally hyperbolic <f>3</f>-dimensional spacetime with compact Cauchy surface, and with nonpositive constant curvature admits a unique time function whose fibers are constant mean curvature surfaces. We discuss the extension of this result in higher dimensions. To cite this article: T. Barbot et al., C. R. Acad. Sci. Paris, Ser. I 336 (2003). [Copyright &y& Elsevier]
- Subjects :
- *FOLIATIONS (Mathematics)
*CURVATURE
Subjects
Details
- Language :
- French
- ISSN :
- 1631073X
- Volume :
- 336
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Comptes Rendus. Mathématique
- Publication Type :
- Academic Journal
- Accession number :
- 9231053
- Full Text :
- https://doi.org/10.1016/S1631-073X(03)00019-0