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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Bibliographic Details
Main Authors: Fisher Nate, Golo Sebastiano Nicolussi
Format: Article
Language:English
Published: De Gruyter 2021-03-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2020-0121