Differential forms on Dirichlet spaces and Bakry-\'Emery estimates on metric graphs
Probability
2017-07-07 v4 Differential Geometry
Metric Geometry
Abstract
We develop a general framework on Dirichlet spaces to prove a weak form of the Bakry-\'Emery estimate and study its consequences. This estimate may be satisfied in situations, like metric graphs, where generalized notions of Ricci curvature lower bounds are not available.
Keywords
Cite
@article{arxiv.1604.02520,
title = {Differential forms on Dirichlet spaces and Bakry-\'Emery estimates on metric graphs},
author = {Fabrice Baudoin and Daniel J. Kelleher},
journal= {arXiv preprint arXiv:1604.02520},
year = {2017}
}