Lorentzian Warped Products and Singularity

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M. Ulanovskii
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LORENTZIAN MANIFOLD; RICCI FORM;
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We show that to any convex function f:ℝn → ℝ there correspondinfinitely many geodesically complete metricsds2 such that Ric(ξ) ξ 0 for anynonspacelike vector ξ. These metrics are constructedas the warped products of the natural metric inℝ and the inner metric of a convexhyperface (the graph of f) in ℝn + 1.
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页码:1813 / 1820
页数:7
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