13) "Bakry-Emery Ricci curvature of doubly warped product of weighted spaces", joint with Z. Fathi, Journal of Geometric Analysis vol32, issue 79, 75pp (2022)

We set forth a definition of doubly warped product of weighted graphs that is consistent with the doubly warped product in the Riemannian setting. We establish discrete Bakry-Émery Ricci curvature-dimension bounds for such products in terms of the curvature of the constituent graphs. We also introduce the (R 1 , R 2 )-doubly warped products of smooth measure spaces and establish N-Bakry-Émery Ricci curvature bounds thereof in terms of those of the factors.

arXiv link: https://arxiv.org/abs/1904.04134

Public link for the read only published version: https://rdcu.be/cETgP