Sub-Finsler Horofunction Boundaries of the Heisenberg Group
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
Julkaistu sarjassa
Analysis and Geometry in Metric SpacesPäivämäärä
2021Tekijänoikeudet
© 2021 the Authors
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.
Julkaisija
De GruyterISSN Hae Julkaisufoorumista
2299-3274Asiasanat
Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/52676135
Metadata
Näytä kaikki kuvailutiedotKokoelmat
Rahoittaja(t)
Euroopan komissioRahoitusohjelmat(t)
EU:n 7. puiteohjelma (FP7)
The content of the publication reflects only the author’s view. The funder is not responsible for any use that may be made of the information it contains.
Lisätietoja rahoituksesta
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).Lisenssi
Ellei muuten mainita, aineiston lisenssi on CC BY 4.0