Lorentzian manifolds of nonpositive curvature. II
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- by F. J. Flaherty PDF
- Proc. Amer. Math. Soc. 48 (1975), 199-202 Request permission
Abstract:
Suppose that $M$ is a time oriented, future $1$-connected, timelike and null geodesically complete Lorentzian manifold. Previously, we have shown the exponential map at any point of such a manifold embeds the future cone into $M$ when $M$ has nonpositive spacetime curvatures. Here we want to demonstrate that under the same hypotheses, $M$ is homeomorphic to the product of the real line with a Cauchy hypersurface.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 48 (1975), 199-202
- MSC: Primary 53C50
- DOI: https://doi.org/10.1090/S0002-9939-1975-0643823-1
- MathSciNet review: 0643823