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...tor]]s at each point of a [[Pseudo-Riemannian manifold#Lorentzian manifold|Lorentzian manifold]]. It is used in the study of solutions of [[Maxwell's equations]] The electromagnetic field at a point ''p'' (i.e. an event) of a Lorentzian spacetime is represented by a [[Real number|real]] bivector {{nowrap|1=''F' ...

...ite book|author=Ratcliffe, J. G.|year=1994|title=Foundations of Hyperbolic Manifolds|chapter=Hyperbolic geometry|pages=[https://archive.org/details/foundationso ...n momenta, calculated as {{tmath|1=p = mv}}, fail to behave properly under Lorentzian transformation. The linear transformation of velocities {{tmath|1=v' = v - ...