Barycenter curvature-dimension condition for extended metric measure spaces
Metric Geometry
2025-06-19 v2 Functional Analysis
Abstract
In this survey, we introduce a new curvature-dimension condition for extended metric measure spaces, called Barycenter-Curvature Dimension condition BCD, from the perspective of Wasserstein barycenter.
Keywords
Cite
@article{arxiv.2502.06793,
title = {Barycenter curvature-dimension condition for extended metric measure spaces},
author = {Bang-Xian Han and Deng-yu Liu and Zhuo-nan Zhu},
journal= {arXiv preprint arXiv:2502.06793},
year = {2025}
}
Comments
This is a survey paper submitted to a special issue in Indagationes Mathematicae. arXiv admin note: text overlap with arXiv:2412.01190