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On Level Sets of Lorentzian Distance Function |
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| Authors: | F Erkekoğlu E García-Río D N Kupeli |
| Institution: | (1) Department of Mathematics, Hacettepe University, Beytepe, 06532 Ankara, Turkey;(2) Department of Geometry and Topology, Faculty of Mathematics, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain;(3) Bosna-Hersek Caddesi, No: 35/B-10, Emek Mahallesi, 06510 Ankara, Turkey |
| Abstract: | Level sets of Lorentzian distance functions with respect to a point and with respect to an achronal spacelike hypersurface, are analyzed. Some bounds for the Laplacian of such Lorentzian distance functions are obtained and, in relation to them, some spacetime singularity theorems are given.Supported by project BFM2001-3778-C03-01 (Spain). |
| Keywords: | Lorentzian distance function Lorentzian index form strong causality globally hyperbolicity spacetime singularity |
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