2015/01/23 by Florentin Münch, Münch, Florentin
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG
paper · pdf · doi:10.48550/arxiv.1501.05839
arxiv created 2015/01/23 · arxiv updated 2015/01/26
We show a connection between the CDE' inequality and the CDψ inequality. In particular, we introduce a CDψφ inequality as a slight generalization of CDψ which turns out to be equivalent to CDE' with appropriate choices of φ and ψ. We use this to prove that the CDE' inequality implies the classical CD inequality on graphs, and that the CDE' inequality with curvature bound zero holds on Ricci-flat graphs.