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arXiv · 1508.06164

A Note on Discrete Einstein Metric

Huabin Ge·Jinlong Mei·Da Zhou
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Abstract

In this short note, we prove that the space of all admissible piecewise linear metrics parameterized by length square on a triangulated manifolds is a convex cone. We further study Regge's Einstein-Hilbert action and give a much more reasonable definition of discrete Einstein metric than our former version in \cite{G}. Finally, we introduce a discrete Ricci flow for three dimensional triangulated manifolds, which is closely related to the existence of discrete Einstein metrics.

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Huabin Ge, Jinlong Mei, Da Zhou. 2015-11-29. A Note on Discrete Einstein Metric. https://arxiv.org/abs/1508.06164

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