Abstract
We show that to any convex function f:ℝ n → 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 ℝ n + 1.
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