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Flat conformal structures and the classification of de Sitter manifolds. (English) Zbl 0941.53040

The main result is the following Theorem. Every de Sitter spacetime which is a small regular neighborhood of a compact spacelike hypersurface isometrically embeds in a standard de Sitter spacetime.

MSC:

53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
53C40 Global submanifolds
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