On gluing Alexandrov spaces with lower Ricci curvature bounds

13 Mar 2020 · Kapovitch Vitali, Ketterer Christian, Sturm Karl-Theodor ·

In this paper we prove that in the class of metric measure spaces with Alexandrov curvature bounded from below the Riemannian curvature-dimension condition $RCD(K,N)$ with $K\in \mathbb{R}$ and $N\in [1,\infty)$ is preserved under doubling and gluing constructions.