On Gromov's flat corner domination conjecture and Stoker's conjecture

Abstract

In this paper, we prove Gromov's flat corner domination conjecture in all dimensions. As a consequence, we answer positively the Stoker conjecture for convex Euclidean polyhedra in all dimensions. By applying the same techniques, we also prove a rigidity theorem for strictly convex domains in Euclidean spaces.

arXiv comment27 pages. arXiv:2207.05731 has been merged into this paper. arXiv admin note: text overlap with arXiv:2112.01510