Sub-Finsler Horofunction Boundaries of the Heisenberg Group

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 b...

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Autores principales:	Fisher Nate, Golo Sebastiano Nicolussi
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	horoboundary sub-finsler distance homogeneous group heisenberg group 20f69 53c23 53c17 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/0de05ac6f95a4075abc8c9301ff88c35
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spelling	oai:doaj.org-article:0de05ac6f95a4075abc8c9301ff88c352021-12-05T14:10:38ZSub-Finsler Horofunction Boundaries of the Heisenberg Group2299-327410.1515/agms-2020-0121https://doaj.org/article/0de05ac6f95a4075abc8c9301ff88c352021-03-01T00:00:00Zhttps://doi.org/10.1515/agms-2020-0121https://doaj.org/toc/2299-3274We 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.Fisher NateGolo Sebastiano NicolussiDe Gruyterarticlehoroboundarysub-finsler distancehomogeneous groupheisenberg group20f6953c2353c17AnalysisQA299.6-433ENAnalysis and Geometry in Metric Spaces, Vol 9, Iss 1, Pp 19-52 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	horoboundary sub-finsler distance homogeneous group heisenberg group 20f69 53c23 53c17 Analysis QA299.6-433
spellingShingle	horoboundary sub-finsler distance homogeneous group heisenberg group 20f69 53c23 53c17 Analysis QA299.6-433 Fisher Nate Golo Sebastiano Nicolussi Sub-Finsler Horofunction Boundaries of the Heisenberg Group
description	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.
format	article
author	Fisher Nate Golo Sebastiano Nicolussi
author_facet	Fisher Nate Golo Sebastiano Nicolussi
author_sort	Fisher Nate
title	Sub-Finsler Horofunction Boundaries of the Heisenberg Group
title_short	Sub-Finsler Horofunction Boundaries of the Heisenberg Group
title_full	Sub-Finsler Horofunction Boundaries of the Heisenberg Group
title_fullStr	Sub-Finsler Horofunction Boundaries of the Heisenberg Group
title_full_unstemmed	Sub-Finsler Horofunction Boundaries of the Heisenberg Group
title_sort	sub-finsler horofunction boundaries of the heisenberg group
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/0de05ac6f95a4075abc8c9301ff88c35
work_keys_str_mv	AT fishernate subfinslerhorofunctionboundariesoftheheisenberggroup AT golosebastianonicolussi subfinslerhorofunctionboundariesoftheheisenberggroup
_version_	1718371880860123136

Sub-Finsler Horofunction Boundaries of the Heisenberg Group

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