LIPSCHITZ EXTENSIONS OF MAPS BETWEEN HEISENBERG GROUPS

被引：4

作者：

Balogh, Zoltan M. ^{[1
]}

Lang, Urs ^{[2
]}

Pansu, Pierre ^{[3
]}

机构：

[1] Univ Bern, Dept Math, Sidlerstr 5, CH-3012 Bern, Switzerland

[2] ETH, Dept Math, Ramistr 101, CH-8092 Zurich, Switzerland

[3] Univ Paris Saclay, CNRS, Univ Paris Sud, Lab Math Orsay, Batiment 405, F-91405 Orsay, France

来源：

ANNALES DE L INSTITUT FOURIER | 2016年 / 66卷 / 04期

基金：

瑞士国家科学基金会;

关键词：

Heisenberg group; Lipschitz extension property; SPACES;

D O I：

10.5802/aif.3046

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H-n be the Heisenberg group of topological dimension 2n+1. We prove that if n is odd, the pair of metric spaces (H-n, H-n) does not have the Lipschitz extension property.

引用

页码：1653 / 1665

页数：13

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