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February 2014 Rigidity of polyhedral surfaces, I
Feng Luo
J. Differential Geom. 96(2): 241-302 (February 2014). DOI: 10.4310/jdg/1393424919

Abstract

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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Feng Luo. "Rigidity of polyhedral surfaces, I." J. Differential Geom. 96 (2) 241 - 302, February 2014. https://doi.org/10.4310/jdg/1393424919

Information

Published: February 2014
First available in Project Euclid: 26 February 2014

zbMATH: 06287981
MathSciNet: MR3178441
Digital Object Identifier: 10.4310/jdg/1393424919

Rights: Copyright © 2014 Lehigh University

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Vol.96 • No. 2 • February 2014
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