A note on lifting of Carnot groups

被引:0
|
作者
Bonfiglioli, Andrea [1 ]
Uguzzoni, Francesco [1 ]
机构
[1] Univ Bologna, Dipartimento Matemat, I-40126 Bologna, Italy
关键词
lifting of vector fields; Carnot groups; fundamental solutions; free groups;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that every homogeneous Carnot group can be lifted to a free homogeneous Carnot group. Though following the ideas of Rothschild and Stein, we give simple and self-contained arguments, providing a constructive proof, as shown in the examples.
引用
收藏
页码:1013 / 1035
页数:23
相关论文
共 50 条
  • [31] GEOMETRIC INEQUALITIES IN CARNOT GROUPS
    Montefalcone, Francescopaolo
    PACIFIC JOURNAL OF MATHEMATICS, 2013, 263 (01) : 171 - 206
  • [32] ISODIAMETRIC INEQUALITY IN CARNOT GROUPS
    Rigot, Severine
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2011, 36 (01) : 245 - 260
  • [33] Subharmonic functions on Carnot groups
    Andrea Bonfiglioli
    Ermanno Lanconelli
    Mathematische Annalen, 2003, 325 : 97 - 122
  • [34] Riemannian approximation in Carnot groups
    Domokos, Andras
    Manfredi, Juan J.
    Ricciotti, Diego
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2022, 152 (05) : 1139 - 1154
  • [35] A NOTE ON LIFTING PROJECTIONS
    Hadwin, D.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2015, 41 (07): : 117 - 122
  • [36] Jet spaces over Carnot groups
    Golo, Sebastiano Nicolussi
    Warhurst, Benjamin
    REVISTA MATEMATICA IBEROAMERICANA, 2023, 39 (06) : 2289 - 2330
  • [37] APPROXIMATIONS OF SOBOLEV NORMS IN CARNOT GROUPS
    Barbieri, Davide
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2011, 13 (05) : 765 - 794
  • [38] LIPSCHITZ AND BILIPSCHITZ MAPS ON CARNOT GROUPS
    Meyerson, William
    PACIFIC JOURNAL OF MATHEMATICS, 2013, 263 (01) : 143 - 170
  • [39] Remarks on Lipschitz domains in Carnot groups
    Franchi, Bruno
    Penso, Valentina
    Serapioni, Raul
    GEOMETRIC CONTROL THEORY AND SUB-RIEMANNIAN GEOMETRY, 2014, 4 : 153 - 166
  • [40] BLOWUPS AND BLOWDOWNS OF GEODESICS IN CARNOT GROUPS
    Hakavuori, Eero
    Le Donne, Enrico
    JOURNAL OF DIFFERENTIAL GEOMETRY, 2023, 123 (02) : 267 - 310