广义度量测度空间的球心曲率维数条件
度量几何
2025-06-19 v2 泛函分析
摘要
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.
引用
@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}
}
备注
This is a survey paper submitted to a special issue in Indagationes Mathematicae. arXiv admin note: text overlap with arXiv:2412.01190