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arXiv · 2204.09536

Approximating Riemannian manifolds by polyhedra

Daniel Meyer·Eric Toubiana
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Abstract

This is a study on approximating a Riemannian manifold by polyhedra. Our scope is understanding Tullio Regge's [52] article in the restricted Riemannian frame. We give a proof of the Regge theorem along lines close to its original intuition: one can approximate a compact domain of a Riemannian manifold by polyhedra in such a way that the integral of the scalar curvature is approximated by a corresponding polyhedral curvature.

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Daniel Meyer, Eric Toubiana. 2022-04-20. Approximating Riemannian manifolds by polyhedra. https://arxiv.org/abs/2204.09536

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