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arXiv · 0707.0102

Markov type of Alexandrov spaces of nonnegative curvature

Shin-ichi Ohta
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Abstract

We prove that Alexandrov spaces $X$ of nonnegative curvature have Markov type 2 in the sense of Ball. As a corollary, any Lipschitz continuous map from a subset of $X$ into a 2-uniformly convex Banach space is extended as a Lipschitz continuous map on the entire space $X$.

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Shin-ichi Ohta. 2010-05-08. Markov type of Alexandrov spaces of nonnegative curvature. https://arxiv.org/abs/0707.0102

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