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.
| Original language | English |
|---|---|
| Pages (from-to) | 49-70 |
| Number of pages | 22 |
| Journal | Pacific Journal of Mathematics |
| Volume | 287 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2017 |
Keywords
- Discrete Einstein metric
- Discrete Einstein-Hilbert functional
- Discrete Ricci curvature
- Discrete Ricci flow
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