English

3-Dimensional Discrete curvature flows and discrete Einstein metric

Differential Geometry 2017-02-10 v1 Geometric Topology

Abstract

We introduce the discrete Einstein metrics as critical points of discrete energy on triangulated 3-manifolds, and study them by discrete curvature flow of second (fourth) order. We also study the convergence of the discrete curvature flow. Discrete curvature flow of second order is an analogue of smooth Ricci flow.

Keywords

Cite

@article{arxiv.1312.0730,
  title  = {3-Dimensional Discrete curvature flows and discrete Einstein metric},
  author = {Huabin Ge and Xu Xu and Shijin Zhang},
  journal= {arXiv preprint arXiv:1312.0730},
  year   = {2017}
}

Comments

15 pages, 1 figures

R2 v1 2026-06-22T02:19:34.593Z