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arXiv · 2003.06242

On gluing Alexandrov spaces with lower Ricci curvature bounds

Vitali Kapovitch·Christian Ketterer·Karl-Theodor Sturm
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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 $K\in \mathbb{R}$ and $N\in [1,\infty)$ is preserved under doubling and gluing constructions.

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Vitali Kapovitch, Christian Ketterer, Karl-Theodor Sturm. 2020-03-13. On gluing Alexandrov spaces with lower Ricci curvature bounds. https://arxiv.org/abs/2003.06242

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