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Lorentzian area measures and the Christoffel problem

Lorentzian area measures and the Christoffel problem

We introduce a particular class of unbounded closed convex sets of R d+1 , called F-convex sets (F stands for future).To define them, we use the Minkowski bilinear form of signature (+, . . ., +, ) instead of the usual scalar product, and we ask the Gauss map to …