科学研究
报告题目:

Rigidity of the Delaunay triangulations of the plane

报告人:

戴嵩 教授(天津大学)

报告时间:

报告地点:

腾讯会议 ID:628 166 266

报告摘要:

In this talk, we will show the rigidity of the Delaunay triangulated plane under Luo’s discrete conformality (also called the vertex scaling). More precisely, let T=(V,E,F) be a topological triangulation of the plane. Let l,l’ be two PL-metrics of T such that the induced distance structures are isometric to the plane. Suppose l and l’ are discrete conformal in the sense that there exists a function u on V such that l’_{ij}=e^{u_i+u_j}l_{ij}. We further assume l satisfies the Delaunay condition, l’ satisfies the uniformly Delaunay condition and both l and l’ satisfy the uniformly nondegenerate condition. Then l and l’ differ by a constant factor. This a joint work with Tianqi Wu.

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