Christoffel and Minkowski problems in Minkowski space
Christoffel and Minkowski problems in Minkowski space
For convex sets in the Lorentzian Minkowski space bounded by space-like hyperplanes, it is possible to define area measures, similarly to the classical definition for convex bodies in the Euclidean space. Here the measures are defined on the hyperbolic space rather than on the round sphere. We are particularly interested …