Relation between combinatorial Ricci curvature and Lin-Lu-Yau's Ricci Curvature on cell complexes
Combinatorics
2018-09-28 v2
Abstract
In this paper we compare the combinatorial Ricci curvature on cell complexes and the LLY-Ricci curvature defined on graphs. A cell complex is correspondence to a graph such that the vertexes are cells and the edges are vectors on the cell complex. We compare this two Ricci curvature by the cooupling and Kantrovich duality.
Keywords
Cite
@article{arxiv.1801.05593,
title = {Relation between combinatorial Ricci curvature and Lin-Lu-Yau's Ricci Curvature on cell complexes},
author = {Kazuyoshi Watanabe and Taiki Yamada},
journal= {arXiv preprint arXiv:1801.05593},
year = {2018}
}
Comments
22 pages, 9 figures