On gluing Alexandrov spaces with lower Ricci curvature bounds
Differential Geometry
2020-03-16 v1 Metric Geometry
Abstract
In this paper we prove that in the class of metric measure spaces with Alexandrov curvature bounded from below the Riemannian curvature-dimension condition with and is preserved under doubling and gluing constructions.
Keywords
Cite
@article{arxiv.2003.06242,
title = {On gluing Alexandrov spaces with lower Ricci curvature bounds},
author = {Vitali Kapovitch and Christian Ketterer and Karl-Theodor Sturm},
journal= {arXiv preprint arXiv:2003.06242},
year = {2020}
}
Comments
24 pages