Corpus ID: 225086074

Sub-Finsler horofunction boundaries of the Heisenberg group

@article{Fisher2020SubFinslerHB,
  title={Sub-Finsler horofunction boundaries of the Heisenberg group},
  author={Nate Fisher and S. Golo},
  journal={arXiv: Metric Geometry},
  year={2020}
}

Nate Fisher, S. Golo

Published 2020

Mathematics

arXiv: Metric Geometry

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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.