14 citations · 69 across the 29 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.GR2022
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…
math.DG2022
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…
math.DG2022
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…