Curvatures of Smooth and Discrete Surfaces

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We discuss notions of Gauss curvature and mean curvature for polyhedral surfaces. The discretizations are guided by the principle of preserving integral relations for curvatures, like the Gauss/Bonnet theorem and the mean-curvature force balance equation.
14 pages, to appear in "Discrete Differential Geometry", Oberwolfach Seminars 38, Birkhauser, 2008

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Differential Geometry, Metric Geometry, 53A05 (Primary); 52B70, 53C99, 51M25

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http://salesiana.dossiersoluciones.com/handle/123456789/140727

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.4497
 http://arxiv.org/abs/0710.4497

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arXiv