A1 Journal article (refereed)
Sub-Finsler Horofunction Boundaries of the Heisenberg Group (2021)


Fisher, N., & Nicolussi Golo, S. (2021). Sub-Finsler Horofunction Boundaries of the Heisenberg Group. Analysis and Geometry in Metric Spaces, 9(1), 19-52. https://doi.org/10.1515/agms-2020-0121


JYU authors or editors


Publication details

All authors or editors: Fisher, Nate; Nicolussi Golo, Sebastiano

Journal or series: Analysis and Geometry in Metric Spaces

ISSN: 2299-3274

eISSN: 2299-3274

Publication year: 2021

Publication date: 01/01/2021

Volume: 9

Issue number: 1

Pages range: 19-52

Publisher: De Gruyter

Publication country: Germany

Publication language: English

DOI: https://doi.org/10.1515/agms-2020-0121

Publication open access: Openly available

Publication channel open access: Open Access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/74969

Web address of parallel published publication (pre-print): https://arxiv.org/abs/2009.06820


Abstract

We give a complete analytic and geometric description of the horofunction boundary for polygonal
sub-Finsler metrics, that is, those that arise as asymptotic cones of word metrics, on the Heisenberg group. We
develop theory for the more general case of horofunction boundaries in homogeneous groups by connecting
horofunctions to Pansu derivatives of the distance function.


Keywords: differential geometry; group theory

Free keywords: horoboundary; sub-Finsler distance; homogeneous group; Heisenberg group


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Ministry reporting: Yes

Reporting Year: 2021

JUFO rating: 1


Last updated on 2024-22-04 at 19:17