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20112025
most citedOn the lack of density of Lipschitz mappings in Sobolev spaces with Heisenberg target

3 citations · 3 across the 10 of their papers we have counts for

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math.GT2016

Heisenberg quasiregular ellipticity

Katrin Fässler, Anton Lukyanenko, Jeremy T. Tyson

Following the Euclidean results of Varopoulos and Pankka--Rajala, we provide a necessary topological condition for a sub-Riemannian 3-manifold to admit a nonconstant quasiregul…

math.GT2012

Quasi-isometric co-Hopficity of non-uniform lattices in rank-one semi-simple Lie groups

Ilya Kapovich, Anton Lukyanenko

We prove that if is a non-uniform lattice in a rank-one semi-simple Lie group $\ne Isom(\H^2_\R)$ then is quasi-isometrically co-Hopf. This means that every quasi-isometric…

math.GT2011

Bi-Lipschitz extension from boundaries of certain hyperbolic spaces

Anton Lukyanenko

Tukia and Vaisala showed that every quasi-conformal map of extends to a quasi-conformal self-map of . The restriction of the extended map to the upper half-space $…