Let be the Heisenberg group of topological dimension . We prove that if is odd, the pair of metric spaces does not have the Lipschitz extension property.
Soit le groupe d’Heisenberg de dimension topologique . On montre que si est impair, le couple d’espaces métriques ne possède pas la propriété d’extension lipschitzienne.
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Accepted:
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Keywords: Heisenberg group, Lipschitz extension property
Mot clés : Groupe d’Heisenberg, propriété d’extension lipschitzienne
Balogh, Zoltán M. 1; Lang, Urs 2; Pansu, Pierre 3
@article{AIF_2016__66_4_1653_0, author = {Balogh, Zolt\'an M. and Lang, Urs and Pansu, Pierre}, title = {Lipschitz extensions of maps between {Heisenberg} groups}, journal = {Annales de l'Institut Fourier}, pages = {1653--1665}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {66}, number = {4}, year = {2016}, doi = {10.5802/aif.3046}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.3046/} }
TY - JOUR AU - Balogh, Zoltán M. AU - Lang, Urs AU - Pansu, Pierre TI - Lipschitz extensions of maps between Heisenberg groups JO - Annales de l'Institut Fourier PY - 2016 SP - 1653 EP - 1665 VL - 66 IS - 4 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.3046/ DO - 10.5802/aif.3046 LA - en ID - AIF_2016__66_4_1653_0 ER -
%0 Journal Article %A Balogh, Zoltán M. %A Lang, Urs %A Pansu, Pierre %T Lipschitz extensions of maps between Heisenberg groups %J Annales de l'Institut Fourier %D 2016 %P 1653-1665 %V 66 %N 4 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.3046/ %R 10.5802/aif.3046 %G en %F AIF_2016__66_4_1653_0
Balogh, Zoltán M.; Lang, Urs; Pansu, Pierre. Lipschitz extensions of maps between Heisenberg groups. Annales de l'Institut Fourier, Volume 66 (2016) no. 4, pp. 1653-1665. doi : 10.5802/aif.3046. https://aif.centre-mersenne.org/articles/10.5802/aif.3046/
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