Relation between Combinatorial Ricci Curvature and Lin-Lu-Yau's Ricci Curvature on Cell Complexes

摘要

In this paper we compare the combinatorial Ricci curvature on cell complexesand the LLY-Ricci curvature defined on graphs. A cell complex is correspondenceto a graph such that the vertexes are cells and the edges are vectors on thecell complex. We compare this two Ricci curvature by the cooupling andKantrovich duality.