We characterize those mappings from a compact subset of R into the Heisenberg group Hn which can be extended to a Cm horizontal curve in Hn. 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.
A C^m Whitney extension theorem for horizontal curves in the Heisenberg group / Pinamonti, Andrea; Speight, Gareth; Zimmerman, Scott. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 1088-6850. - 371:(2019), pp. 8971-8992. [10.1090/tran/7806]
A C^m Whitney extension theorem for horizontal curves in the Heisenberg group
Andrea Pinamonti;
2019-01-01
Abstract
We characterize those mappings from a compact subset of R into the Heisenberg group Hn which can be extended to a Cm horizontal curve in Hn. 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.File in questo prodotto:
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