On gluing Alexandrov spaces with lower Ricci curvature bounds

2020/03/13 by Kapovitch, Vitali, Ketterer, Christian, Sturm, Karl-Theodor
#53C21 #54E35 #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2003.06242

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 RCD(K,N) with K∈ ℝ and N∈ [1,∞) is preserved under doubling and gluing constructions.

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