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CAT(\kappa) in title; Caratheodory -> Carathéodory
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LSpice
LSpice
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Are Carnot groups ever CAT(k𝜅) spaces?

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

Are Carnot groups ever CAT(k) spaces?

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

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 $\kappa\in \mathbb{R}$?

fixed typo
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YCor
YCor
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Are Carnot-Groups groups ever CatCAT(k) spaces?

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Carlos_Petterson
Carlos_Petterson
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Are Carnot-Groups ever Cat(k) spaces?

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