Lorentzian geometry

Metric the pseudo-riemannienne S of signature (p, 1) (or sometimes (1, Q), according to the convention of signs) are called metric Lorentzian. A variety equipped with metric Lorentzian is naturally called Lorentzian variety. After the varieties riemanniennes, the Lorentzian varieties form the second more important subset of pseudo-riemanniennes varieties. They are important because of leus physical applications to the theory of the General relativity. One of the principal assumptions of general relativity is that the Espace-temps can be modelled like a Lorentzian variety of signature (3,1).

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