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Part of the book series: Progress in Mathematical Physics ((PMP,volume 58))

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Abstract

This chapter is a brief summary of the main concepts and results about pseudo-Riemannian and Lorentzian manifolds which will be widely used in the rest of the book. While the theory is presented from the beginning in a systematic way, some proofs have been omitted and others are simply hinted at. That is why the reading of this chapter assumes previous knowledge of the subject. We refer to [53] for further treatment.

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© 2010 Birkhäuser, Springer Basel AG

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Girbau, J., Bruna, L. (2010). Pseudo-Riemannian Manifolds. In: Stability by Linearization of Einstein’s Field Equation. Progress in Mathematical Physics, vol 58. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0346-0304-1_1

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