Xiangdong Xie

activity

20032026

most citedLarge scale geometry of negatively curved

R^{n} ⋊ R

14 citations · 69 across the 29 of their papers we have counts for

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Showing 2009Show all

3 papers · 1 filter

math.GR2009★ 4 cited

A Rigidity Property of Some Negatively Curved Solvable Lie Groups

Nageswari Shanmugalingam, Xiangdong Xie

We show that for some negatively curved solvable Lie groups, all self quasiisometries are almost isometries. We prove this by showing that all self quasisymmetric maps of the ideal…

math.GR2009★ 3 cited

Quasisymmetric Maps on the Boundary of a Negatively Curved Solvable Lie Group

Xiangdong Xie

We describe all the self quasisymmetric maps on the ideal boundary of a particular negatively curved solvable Lie group. As applications, we prove a Liouville type theorem, and der…

math.GR2009★ 14 cited

Large scale geometry of negatively curved $R^{n} ⋊ R$

Xiangdong Xie

We classify all negatively curved $R^{n} ⋊ R$ up to quasiisometry. We show that all quasiisometries between such manifolds (except when they are biLipschitz to the real hyper…

A Rigidity Property of Some Negatively Curved Solvable Lie Groups

Quasisymmetric Maps on the Boundary of a Negatively Curved Solvable Lie Group

Large scale geometry of negatively curved Rn⋊R

Large scale geometry of negatively curved $R^{n} ⋊ R$