On gluing Alexandrov spaces with lower Ricci curvature bounds

preprint2020arXivOpen access

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)RCD(K,N) with K∈RK\in \mathbb{R} and N∈[1,∞)N\in [1,\infty) is preserved under doubling and gluing constructions.

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On gluing Alexandrov spaces with lower Ricci curvature bounds | BZPEER