Feuilletages des espaces temps globalement hyperboliques par des hypersurfaces à courbure moyenne constante |
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Authors: | Thierry Barbot François Béguin Abdelghani Zeghib |
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Affiliation: | 1. CNRS, UMR 5669, UMPA, ENS Lyon, 46, allée d''Italie, 69364 Lyon, France;2. UMR 8628, Laboratoire de mathématiques, bâtiment 425, Université Paris Sud, 91405 Orsay, France |
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Abstract: | We announce the following result: every maximal globally hyperbolic 3-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). |
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