A $C^m$ Whitney Extension Theorem for Horizontal Curves in the Heisenberg Group

Andrea Pinamonti, Gareth Speight, Scott Zimmerman

We characterize those mappings from a compact subset of $\mathbb{R}$ into the Heisenberg group ${\mathbb{H}}^n$ which can be extended to a $C^m$ horizontal curve in $\mathbb{H}^{…