This volume offers deep insight into the methods and concepts of a very active field of mathematics that has many connections with physics. Researchers and students will find it to be a useful source for their own investigations, as well as a general report on the latest topics of interest. Presented are contributions from several specialists in differential geometry and mathematical physics, collectively demonstrating the wide range of applications of Lorentzian geometry, and ranging in character from research papers to surveys to the development of new ideas. This volume consists mainly of papers drawn from the conference New Developments in Lorentzian Geometry'' (held in November 2009 in Berlin, Germany), which was organized with the help of the DFG Collaborative Research Center's SFB 647 Space-Time-Matter'' group, the Berlin Mathematical School, and Technische Universitat Berlin.
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vii | |
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An Avez-Seifert Type Theorem for Orthogonal Geodesies on a Stationary Spacetime |
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1 | (10) |
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Calabi-Bernstein Problems for Spacelike Slices in Certain Generalized Robertson-walker Spacetimes |
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11 | (6) |
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A Geometric Energy Estimate for Data on a Characteristic Cone |
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17 | (10) |
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A Survey on Generalized Einstein Metric Conditions |
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27 | (20) |
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Non-Rotating Killing Vector Fields on Standard Static Space-Times |
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47 | (12) |
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59 | (12) |
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Projective Structure in Space-Times |
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71 | (10) |
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Einstein Spacetimes with Weak Regularity |
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81 | (16) |
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Time Functions as Utility Functions |
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97 | (8) |
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Recent Progress on the Notion of Global Hyperbolicity |
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105 | (20) |
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Homologically Maximizing Geodesies in Conformally Flat Tori |
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125 | |
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Matthias Plaue, Technische Universitat Berlin, Germany,||Alan Rendall, Max-Planck-Institut fur Gravitationsphysik, Potsdam, Germany|Mike Scherfner, Technische Universitat Berlin, Germany, Editor
