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

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.
Pinamonti, Andrea; Speight, Gareth; Zimmerman, Scott
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/225936
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