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Pseudo-Riemannian Manifolds

2010
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
Joan Girbau, Lluís Bruna
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Projective Transformations of Pseudo-Riemannian Manifolds

Journal of Mathematical Sciences, 2003
This paper is a survey of the results on the theory of projective transformations of pseudo-Riemannian manifolds. A projective transformation of a pseudo-Riemannian manifold \(M^ n\) is an automorphism of the induced Riemannian connection of the projective structure that takes geodesics of \(M^ n\) into geodesics.
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On Local Structure of Pseudo-Riemannian Poisson Manifolds and Pseudo-Riemannian Lie Algebras

Journal of Lie Theory, 2012
The results of the paper under review are related to the work of \textit{M. Boucetta} [C. R. Acad. Sci., Paris, Sér. I, Math. 333, No. 8, 763--768 (2001; Zbl 1009.53057); Differ. Geom. Appl. 20, No. 3, 279--291 (2004; Zbl 1061.53058); J. Lie Theory 15, No.
Chen, Zhiqi, Zhu, Fuhai
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