Questions tagged [sub-riemannian-geometry]
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52 questions
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quasi-conformal embedding of Carnot group into euclidean space
By Pansu's theorem, there are no bi-Lipschitz embeddings of Carnot groups (with exception of the Euclidean space itself) into Euclidean space.
Do there exist quasi-conformal embeddings (into Eucl. sp.)...
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Signature Map From $p$-Geometric Rough Paths to $T(\mathbb{R})$
Let $f:[0,T]\rightarrow \mathbb{R}^d$ be a p-geometric rough path and let $\mathcal{G}_p^d$ be the collection of all such paths. Does the Lyons signature map define a continuous bijection between
$\...
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