On the volume growth of Alexandrov spaces with nonnegative curvature

Abstract

Recently, Zhang and Zhu introduced a new definition for Ricci curvature bounded below on Alexandrov spaces. In this paper, we give a volume growth lower bound estimate of Alexandrov spaces with nonnegative Ricci curvature (in the sense of Zhang–Zhu), which extends Yau’s result from Riemannian manifolds to Alexandrov spaces.