Accepted Paper
Inserted: 20 jul 2018
Last Updated: 13 jan 2019
Journal: Trans AMS
Year: 2018
Abstract:
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 $\mathbb{H}^n$. The characterization combines the classical Whitney conditions with an estimate comparing changes in the vertical coordinate with those predicted by the Taylor series of the horizontal coordinates.
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