Abstract:
We prove uniqueness in the Minkowski problem for open surfaces with spherical image greater than a hemisphere. We extend the class of regions determined earlier by Volkov and the author in which the Christoffel problem has a unique solution.
Citation:
V. I. Oliker, “The uniqueness of the solution in Christoffel and Minkowski problems for open surfaces”, Mat. Zametki, 13:1 (1973), 41–49; Math. Notes, 13:1 (1973), 26–30