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Lorentzian geometry is an active field of mathematical research with particular relations to relativity theory. The main purpose of this exposition is to present novel results in a concise overview and to provide a kind of mind map of the research done by the community today. We hope in particular that this little book serves young researchers who are interested in this topic as a valuable source for information on the frontiers of this field. It includes articles and surveys covering a large variety of topics in Lorentzian geometry, amongst which are: Submanifolds of particular causal character, Killing and conformal vector fields, warped products and foliations, Einstein equations, energy conditions and black holes, techniques from Riemannian geometry, algebraic classification of spacetimes.
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Advances in Lorentzian geometry, Matthias Plaue
- Language
- Released
- 2008
Payment methods
- Title
- Advances in Lorentzian geometry
- Language
- English
- Authors
- Matthias Plaue
- Publisher
- Shaker
- Publisher
- 2008
- ISBN10
- 3832277862
- ISBN13
- 9783832277864
- Category
- Mathematics
- Description
- Lorentzian geometry is an active field of mathematical research with particular relations to relativity theory. The main purpose of this exposition is to present novel results in a concise overview and to provide a kind of mind map of the research done by the community today. We hope in particular that this little book serves young researchers who are interested in this topic as a valuable source for information on the frontiers of this field. It includes articles and surveys covering a large variety of topics in Lorentzian geometry, amongst which are: Submanifolds of particular causal character, Killing and conformal vector fields, warped products and foliations, Einstein equations, energy conditions and black holes, techniques from Riemannian geometry, algebraic classification of spacetimes.