Sub-Finsler horofunction boundaries of the Heisenberg group

DOI10.1515/agms-2020-0121OpenAlexW3144630833WikidataQ109746545 ScholiaQ109746545MaRDI QIDQ2033535

Sebastiano Nicolussi Golo, Nate Fisher

Publication date: 17 June 2021

Published in: Analysis and Geometry in Metric Spaces (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.06820

zbMATH Keywords

Heisenberg grouphomogeneous grouphoroboundarysub-Finsler distance

Mathematics Subject Classification ID

Asymptotic properties of groups (20F69) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Sub-Riemannian geometry (53C17)

Cites Work

• Unnamed Item
• The action of a nilpotent group on its horofunction boundary has finite orbits.
• The horofunction boundary of the Heisenberg group
• On Carnot-Caratheodory metrics
• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• Nonholonomic manifolds and nilpotent analysis
• Horoballs in simplices and Minkowski spaces
• Balls and metrics defined by vector fields. I: Basic properties
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Toric varieties vs. horofunction compactifications of polyhedral norms
• A primer on Carnot groups: homogenous groups, Carnot-Carathéodory spaces, and regularity of their isometries
• Besicovitch covering property on graded groups and applications to measure differentiation
• On the horofunction boundary of discrete Heisenberg group
• Asymptotic behavior of the Riemannian Heisenberg group and its horoboundary
• Fine asymptotic geometry in the Heisenberg group
• The Horofunction boundary of the Heisenberg Group: The Carnot-Carathéodory metric
• Regularity properties of spheres in homogeneous groups
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Croissance des boules et des géodésiques fermées dans les nilvariétés
• The horofunction boundary of finite-dimensional normed spaces
• The Isoperimetric Problem in the Minkowski Plane

This page was built for publication: Sub-Finsler horofunction boundaries of the Heisenberg group