Rigidity of polyhedral surfaces, I

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43800

Journal of Differential Geometry, 96, (2), 241-302
We study the rigidity of polyhedral surfaces and the moduli space of polyhedral surfaces using variational principles. Curvature-like quantities for polyhedral surfaces are introduced and are shown to determine the polyhedral metric up to isometry. The action functionals in the variational approaches are derived from the cosine law. They can be considered as 2-dimensional counterparts of the Schlaefli formula.
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@inproceedings{fengrigidity,
  title={Rigidity of polyhedral surfaces, I},
  author={Feng Luo},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205900783993364},
  booktitle={Journal of Differential Geometry},
  volume={96},
  number={2},
  pages={241-302},
}
Feng Luo. Rigidity of polyhedral surfaces, I. Vol. 96. In Journal of Differential Geometry. pp.241-302. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205900783993364.
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