Rigidity of polyhedral surfaces with finite boundary components

Ba Te; Zhou Ze

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Rigidity of polyhedral surfaces with finite boundary components

Ba Te,Zhou Ze *

School of Mathematics, Hunan University, Changsha 410082

*Correspondence author

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Funding: National Natural Science Foundation of China （No.11631010）, National Natural Science Foundation of China （No.11601141）

Opened online:15 April 2021

Accepted by: none

Citation: Ba Te,Zhou Ze.Rigidity of polyhedral surfaces with finite boundary components[OL]. [15 April 2021] http://en.paper.edu.cn/en_releasepaper/content/4754475

We prove that the polyhedral surface with finite boundary components is determined up to isometry(or scaling) by some types of discrete curvatures, which generalizes a classical result of Luo Feng. The basic idea is to apply the doubling surgery. In this way, the rigidity of surface with boundary is a corollary of the rigidity of closed surface.

Keywords:Discrete Geometry; Polyhedral Surfaces; Rigidity

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