The geometric traveling salesman theorem in the Heisenberg group

Herve Pajot
Université de Grenoble

We will discuss the following result : Theorem : Let $E$ be a compact subset of the Heisenberg group (endowed with its Carnot-Carath\'eodory metric). If $E$ satisfies Peter Jones'Geometric Lemma, then $E$ is contained in a rectfifiable curve. (joint with F. Ferrari and B. Franchi)

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