GLOBAL CONTACT AND QUASICONFORMAL MAPPINGS OF CARNOT GROUPS

被引：4
|
作者：
Cowling, Michael G. [1 ]
Ottazzi, Alessandro [2 ]
机构：
[1] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia
[2] Fdn Bruno Kessler, CIRM, Via Sommarive 15, I-38123 Trento, Italy
来源：
CONFORMAL GEOMETRY AND DYNAMICS | 2015年 / 19卷
基金：
澳大利亚研究理事会;
关键词：
Carnot groups; quasiconformal mappings; contact mappings;
D O I：
10.1090/ecgd/282
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that globally defined quasiconformal mappings of rigid Carnot groups are affine, but that globally defined contact mappings of rigid Carnot groups need not be quasiconformal, and a fortiori not affine.
引用
收藏
页码：221 / 239
页数：19
相关论文
共 50 条
  • [41] On the boundary behavior of weak (p; q)-quasiconformal mappings
    Gol’dshtein V.
    Sevost’yanov E.
    Ukhlov A.
    Journal of Mathematical Sciences, 2023, 270 (3) : 420 - 427
  • [42] On distortion theorem for N-set quasiconformal mappings
    Huang, XZ
    FINITE OR INFINITE DIMENSIONAL COMPLEX ANALYSIS, 2000, 214 : 157 - 167
  • [43] A SIMPLE DEFORMATION OF QUASICONFORMAL HARMONIC MAPPINGS IN THE UNIT DISK
    Partyka, Dariusz
    Sakan, Ken-ichi
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2012, 37 (02) : 539 - 556
  • [44] CONFORMAL MAPS OF CARNOT GROUPS
    Cowling, Michael G.
    Ottazzi, Alessandro
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2015, 40 (01) : 203 - 213
  • [45] Riesz conjugate functions theorem for harmonic quasiconformal mappings
    Liu, Jinsong
    Zhu, Jian-Feng
    ADVANCES IN MATHEMATICS, 2023, 434
  • [46] A Koebe distortion theorem for quasiconformal mappings in the Heisenberg group
    Adamowicz, Tomasz
    Fassler, Katrin
    Warhurst, Ben
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2020, 199 (01) : 147 - 186
  • [47] Criteria for quasiconformal extensions of some classes of harmonic mappings
    Satpati, Goutam
    JOURNAL OF ANALYSIS, 2025,
  • [48] Sharp bounds for composition with quasiconformal mappings in Sobolev spaces
    Oliva, Marcos
    Prats, Marti
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 451 (02) : 1026 - 1044
  • [49] Convex functions on Carnot groups
    Juutinen, Petri
    Lu, Guozhen
    Manfredi, Juan J.
    Stroffolini, Bianca
    REVISTA MATEMATICA IBEROAMERICANA, 2007, 23 (01) : 191 - 200
  • [50] QUASICONFORMAL HARMONIC MAPPINGS BETWEEN DOMAINS CONTAINING INFINITY
    Kalaj, David
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020, 102 (01) : 109 - 117
12345