Work

On the Geometry of Wasserstein Barycenter II: Riemannian Rigidity, Essential Non-Branching, and Finsler Models

Year: 2026

Type: preprint

Abstract: Wasserstein barycenters provide a notion of weighted mean for probability measures on a metric space. We prove that the barycenter curvature-dimension condition ${\rm BCD}(K,N)$ is equivalent to ${\rm RCD}(K,N)$ for $K\in \mathbb R$ and $1

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.19564

Authors: Han, Bang-Xian, Liu, Deng-Yu

Institutions: Shandong University, University of Science and Technology of China

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7213582356

Cites: 3

Cited by: 1

Related to: 10