Contact and 1-quasiconformal maps on Carnot groups
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Publication:3106525
zbMath1254.22006arXiv1001.3817MaRDI QIDQ3106525
Ben Warhurst, Alessandro Ottazzi
Publication date: 28 December 2011
Full work available at URL: https://arxiv.org/abs/1001.3817
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Nilpotent and solvable Lie groups (22E25) Sub-Riemannian geometry (53C17)
Related Items (14)
Prime ends in the Heisenberg group $\mathbb{H}_{1}$ and the boundary behavior of quasiconformal mappings ⋮ On the smoothness of $C^1$-contact maps in $C^\infty$-rigid Carnot groups ⋮ Global contact and quasiconformal mappings of Carnot groups ⋮ Rigidity of 2-step Carnot groups ⋮ Conformal maps of Carnot groups ⋮ \(\mathfrak{L}\)-prolongations of graded Lie algebras ⋮ Rigidity of quasiconformal maps on Carnot groups ⋮ Left-invariant distributions diffeomorphic to flat distributions ⋮ Ultrarigid tangents of sub-Riemannian nilpotent groups ⋮ The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds ⋮ On derivations of subalgebras of real semisimple Lie algebras ⋮ The contact mappings of a flat \((2,3,5)\)-distribution ⋮ Logarithmic potentials and quasiconformal flows on the Heisenberg group ⋮ Quasi-conformal maps on model filiform groups
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