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December, 2005 A note on lifting of Carnot groups
Andrea Bonfiglioli, Francesco Uguzzoni
Rev. Mat. Iberoamericana 21(3): 1013-1035 (December, 2005).


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.


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Andrea Bonfiglioli. Francesco Uguzzoni. "A note on lifting of Carnot groups." Rev. Mat. Iberoamericana 21 (3) 1013 - 1035, December, 2005.


Published: December, 2005
First available in Project Euclid: 11 January 2006

zbMATH: 1100.35029
MathSciNet: MR2232674

Primary: 35H20 , 43A80
Secondary: 22E60

Keywords: Carnot groups , ‎free groups , fundamental solutions , lifting of vector fields

Rights: Copyright © 2005 Departamento de Matemáticas, Universidad Autónoma de Madrid

Vol.21 • No. 3 • December, 2005
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