Sub-Finsler Horofunction Boundaries of the Heisenberg Group

Fisher, Nate; Nicolussi Golo, Sebastiano

doi:10.1515/agms-2020-0121

dc.contributor.author	Fisher, Nate
dc.contributor.author	Nicolussi Golo, Sebastiano
dc.date.accessioned	2021-04-07T05:39:28Z
dc.date.available	2021-04-07T05:39:28Z
dc.date.issued	2021
dc.identifier.citation	Fisher, N., & Nicolussi Golo, S. (2021). Sub-Finsler Horofunction Boundaries of the Heisenberg Group. <i>Analysis and Geometry in Metric Spaces</i>, <i>9</i>(1), 19-52. <a href="https://doi.org/10.1515/agms-2020-0121" target="_blank">https://doi.org/10.1515/agms-2020-0121</a>
dc.identifier.other	CONVID_52676135
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/74969
dc.description.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.	en
dc.format.mimetype	application/pdf
dc.language	eng
dc.language.iso	eng
dc.publisher	De Gruyter
dc.relation.ispartofseries	Analysis and Geometry in Metric Spaces
dc.rights	CC BY 4.0
dc.subject.other	horoboundary
dc.subject.other	sub-Finsler distance
dc.subject.other	homogeneous group
dc.subject.other	Heisenberg group
dc.title	Sub-Finsler Horofunction Boundaries of the Heisenberg Group
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202104072291
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.contributor.oppiaine	Matematiikka	fi
dc.contributor.oppiaine	Mathematics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	19-52
dc.relation.issn	2299-3274
dc.relation.numberinseries	1
dc.relation.volume	9
dc.type.version	publishedVersion
dc.rights.copyright	© 2021 the Authors
dc.rights.accesslevel	openAccess	fi
dc.relation.grantnumber	607643
dc.relation.grantnumber	607643
dc.relation.projectid	info:eu-repo/grantAgreement/EC/FP7/607643/EU//
dc.subject.yso	ryhmäteoria
dc.subject.yso	differentiaaligeometria
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p12497
jyx.subject.uri	http://www.yso.fi/onto/yso/p16682
dc.rights.url	https://creativecommons.org/licenses/by/4.0/
dc.relation.doi	10.1515/agms-2020-0121
dc.relation.funder	European Commission	en
dc.relation.funder	Euroopan komissio	fi
jyx.fundingprogram	FP7 (EU's 7th Framework Programme)	en
jyx.fundingprogram	EU:n 7. puiteohjelma (FP7)	fi
jyx.fundinginformation	S.N.G has been supported by the University of Padova STARS Project “Sub-Riemannian Geometry and Geometric Measure Theory Issues: Old and New”; by the INdAM – GNAMPA Project 2019 “Rectiability in Carnot groups”; and by the Marie Curie Actions-Initial Training Network “Metric Analysis For Emergent Technologies (MAnET)” (n. 607643).
dc.type.okm	A1