28 citations · 102 across the 27 of their papers we have counts for
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math.MG2018
Bi-Lipschitz embeddings of Heisenberg submanifolds into Euclidean spaces
Vasileios Chousionis, Sean Li, Vyron Vellis +1
The Heisenberg group equipped with a sub-Riemannian metric is one of the most well known examples of a doubling metric space which does not admit a bi-Lipschitz embedd…
math.FA2018★ 2 cited
Gâteaux differentiability on infinite-dimensional Carnot groups
Enrico Le Donne, Sean Li, Terhi Moisala
This paper contributes to the generalization of Rademacher's differentiability result for Lipschitz functions when the domain is infinite dimensional and has nonabelian group struc…
math.MG2018
The Traveling Salesman Theorem in Carnot Groups
Vasileios Chousionis, Sean Li, Scott Zimmerman
Let be any Carnot group. We prove that, if a subset of is contained in a rectifiable curve, then it satisfies Peter Jones' geometric lemma with some natur…