论文标题
在格罗莫夫的平坦角统治和斯托克的猜想上
On Gromov's flat corner domination conjecture and Stoker's conjecture
论文作者
论文摘要
在本文中，我们在所有维度上都证明了格罗莫夫的平坦角统治。结果，我们在各个方面都积极回答了凸出欧几里得多面体的Stoker猜想。通过应用相同的技术，我们还证明了欧几里得空间中严格凸域的刚性定理。
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.
