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Rectifiability and Lipschitz extensions into the Heisenberg group |
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| Authors: | Zoltán M. Balogh Katrin S. Fässler |
| Affiliation: | 1.Department of Mathematics,University of Bern,Bern,Switzerland |
| Abstract: | Denote by mathbbHn{mathbb{H}^n} the 2n + 1 dimensional Heisenberg group. We show that the pairs (mathbbRk ,mathbbHn){(mathbb{R}^k ,mathbb{H}^n)} and (mathbbHk ,mathbbHn){(mathbb{H}^k ,mathbb{H}^n)} do not have the Lipschitz extension property for k > n. |
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