On gluing Alexandrov spaces with lower Ricci curvature bounds

Autor:	Kapovitch, Vitali, Ketterer, Christian, Sturm, Karl-Theodor
Rok vydání:	2020
Předmět:	Mathematics - Differential Geometry Mathematics - Metric Geometry 53C21 54E35
Druh dokumentu:	Working Paper
Popis:	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. Comment: 24 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2003.06242 Zobrazit plný text záznamu View this record from Arxiv