[B]
Balogh, Z.
Hausdorff dimension distribution of quasiconformal mappings on the Heisenberg group. J. Anal. Math.
83 (2001), 289–312.
[BKR]
Balogh, Z., Koskela, P. and Rogovin, S.
Absolute continuity of quasiconformal mappings on curves. Geom. Funct. Anal.
17 (2007), no. 3, 645–664.
[BR]
Bellaiche, A. and Risler, J. J.
Sub-Riemannian geometry. Progr. Math.
144 (Basel 1996).
[CC]
Capogna, L. and Cowling, M.
Conformality and Q-harmonicity in Carnot groups. Duke Math. J.
135 (2006), no. 3, 455–479.
[CG]
Corwin, L. and Greenleaf, F.
Representations of Nilpotent Lie Groups and Their Applications, Part I. Basic Theory and Examples. Cambridge Studies in Advanced Math. 18 (Cambridge University Press, Cambridge, 1990).
[H]
Heintze, E.
On homogeneous manifolds of negative curvature. Math. Ann.
211 (1974), 23–34.
[HK]
Heinonen, J. and Koskela, P.
Quasiconformal maps in metric spaces with controlled geometry. Acta Math.
181 (1998), no. 1, 1–61.
[LX]
Le Donne, E. and Xie, X.. Rigidity of fiber-preserving quasisymmetric maps. Accepted by Revista Matematica Iberoamericana.
[O]
Ottazzi, A.
A sufficient condition for nonrigidity of Carnot groups. Math. Z.
259 (2008), no. 3, 617–629.
[OW]
Ottazzi, A. and Warhurst, B.
Contact and 1-quasiconformal maps on Carnot groups. J. Lie Theory
21 (2011), no. 4, 787–811.
[P]
Pansu, P.
Metriques de Carnot-Caratheodory et quasiisometries des espaces symetriques de rang un. Ann. of Math.
(2)
129 (1989), no. 1, 1–60.
[R]
Reimann, H. M.
Rigidity of H-type groups. Math. Z.
237 (2001), no. 4, 697–725.
[SX]
Shanmugalingam, N. and Xie, X.
A rigidity property of some negatively curved solvable lie groups. Comment. Math. Helv.
87 (2012), no. 4, 805–823.
[V]
Väisälä, J.
The free quasiworld. Freely quasiconformal and related maps in Banach spaces. Quasiconformal Geometry and Dynamics
48 (Banach Center Publ., Lublin, 1996), 55–118.
[X2]
Xie, X.
Quasiconformal maps on model Filiform groups. Michigan Math. J.
64 (2015), no. 1, 169–202.
[X3]
Xie, X.
Quasisymmetric maps on reducible Carnot groups. Pacific J. Math.
265 (2013), no. 1, 113–122.
