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arXiv · 1505.06093

Lipschitz extensions of maps between Heisenberg groups

Zoltan Balogh·Urs Lang·Pierre Pansu
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Abstract

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.

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Zoltan Balogh, Urs Lang, Pierre Pansu. 2015-05-22. Lipschitz extensions of maps between Heisenberg groups. https://arxiv.org/abs/1505.06093

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