Lorentzian Warped Products and Singularity |
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| Authors: | M Ulanovskii |
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| Institution: | (1) INRIA Rh?ne-Alpes, avenue de l’Europe 655, 38334 Saint-Ismier, France |
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| Abstract: | We show that to any convex function f:
n
 there correspondinfinitely many geodesically complete metricsds2 such that Ric( ) 0 for anynonspacelike vector . These metrics are constructedas the warped products of the natural metric in and the inner metric of a convexhyperface (the graph of f) in
n + 1. |
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| Keywords: | LORENTZIAN MANIFOLD RICCI FORM |
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