On Gromov's flat corner domination conjecture and Stoker's conjecture
Differential Geometry
2023-03-22 v2 K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.2203.09511,
title = {On Gromov's flat corner domination conjecture and Stoker's conjecture},
author = {Jinmin Wang and Zhizhang Xie},
journal= {arXiv preprint arXiv:2203.09511},
year = {2023}
}
Comments
27 pages. arXiv:2207.05731 has been merged into this paper. arXiv admin note: text overlap with arXiv:2112.01510