Lipschitz extensions of maps between Heisenberg groups
classification
🧮 math.DG
math.GTmath.MG
keywords
heisenberglipschitzdimensionextensionextensionsgroupgroupsmaps
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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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