Prescription of Gauss curvature on compact hyperbolic orbifolds (Q379805)

This paper is organized in the following way:NEWLINENEWLINE Section 1 contains preliminaries and the problem of prescribing the Gauss curvature of convex sets in the Minkowski spacetime, which is a generalization of a result by Alexandrov for Euclidean convex bodies.NEWLINENEWLINE The model of the duality of star-shaped sets in the Minkowski spacetime is presented in Section 2.NEWLINENEWLINESection 3. Equivalence of Theorem 1.3 and Theorem 1.4. The solutions of both problems are in one-to-one correspondence. The main result of this paper is given by Theorem (1.3).NEWLINENEWLINEReviewer's remark: The general theory of the Gauss curvature prescription is given by Kazdan's theory.