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CAT(\kappa) in title; Caratheodory -> Carathéodory

edited Apr 24, 2022 at 16:46

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Are Carnot groups ever CAT(𝜅) spaces?

Let $G$ be a free Carnot group of homogeneous dimension $d$, equipped with the Carnot–Carathéodory metric. Is $(G,d)$ ever $\operatorname{CAT}(\kappa)$ for some $\kappa\in \mathbb{R}$?

asked Apr 24, 2022 at 15:01

Carlos_Petterson