14 citations · 69 across the 29 of their papers we have counts for
29 papers
Sobolev mappings of Euclidean space and product structure
Bruce Kleiner, Stefan Müller, László Székelyhidi +1
We consider bounded open connected sets and Sobolev maps , such that for almost every $x…
A Tukia-type theorem for nilpotent Lie groups and quasi-isometric rigidity of solvable groups
Tullia Dymarz, David Fisher, Xiangdong Xie
In this paper we study uniform quasiconformal groups of Carnot-by-Carnot groups. We show that they can be conjugated into conformal groups provided the induced action on the space…
Rough similarity of left-invariant Riemannian metrics on some Lie groups
Enrico Le Donne, Gabriel Pallier, Xiangdong Xie
We consider Lie groups that are either Heintze groups or Sol-type groups, which generalize the three-dimensional Lie group SOL. We prove that all left-invariant Riemannian metrics…
Sobolev mappings and the spectral sequence for Rumin's filtration on the de Rham complex
Bruce Kleiner, Stefan Muller, Xiangdong Xie
We consider Rumin's filtration on the de Rham complex of a Carnot group. Although Pansu pullback by a Sobolev map is filtration preserving, it need not be a chain mapping. Nonethel…
Rigidity of flag manifolds
Bruce Kleiner, Stefan Muller, Xiangdong Xie
Let be the group of upper triangular matrices with s on the diagonal, equipped with the standard Carnot group structure. We show that quasiconformal homeomorp…
Sobolev mappings between nonrigid Carnot groups
Bruce Kleiner, Stefan Muller, Xiangdong Xie
We consider mappings between Carnot groups. In this paper, which is a continuation of "Pansu pullback and rigidity of mappings between Carnot groups" (arXiv:2004.09271), we focus o…