#### Vol. 287, No. 1, 2017

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Three-dimensional discrete curvature flows and discrete Einstein metrics

### Huabin Ge, Xu Xu and Shijin Zhang

Vol. 287 (2017), No. 1, 49–70
##### Abstract

A discrete version of the Einstein–Hilbert functional was introduced by Regge. In this paper, we define the discrete Einstein metrics as critical points of Regge’s Einstein–Hilbert functional with normalization on triangulated 3-manifolds. We also introduce some discrete curvature flows, which are closely related to the existence of discrete Einstein metrics.

##### Keywords
discrete Einstein–Hilbert functional, discrete Ricci curvature, discrete Ricci flow, discrete Einstein metric
Primary: 53C44