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Tagged with sub-riemannian-geometry metric-spaces
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Relationship between doubling constant of a metric space and of a metric measure space
Let $(X,d,m)$ be a metric measure space. We say that it is doubling in the sense of metric spaces if for every:
$x\in X$ and every $r>0$ there exists some (metric) doubling constant $C_d\geq 0$ ...
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When are Carnot groups negatively curved and homeomorphic to Euclidean space
When are Carnot groups complete and negatively curved (in the sense of $CAT(\kappa)$ spaces)?
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