Asymptotic behavior of the Riemannian Heisenberg group and its horoboundary
From MaRDI portal
Publication:2406438
DOI10.1007/s10231-016-0615-2zbMath1423.53033arXiv1509.00288OpenAlexW2963668864WikidataQ109520621 ScholiaQ109520621MaRDI QIDQ2406438
Andrea Sambusetti, Enrico Le Donne, Sebastiano Nicolussi Golo
Publication date: 29 September 2017
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.00288
Asymptotic properties of groups (20F69) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Sub-Riemannian geometry (53C17)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A quantitative bounded distance theorem and a Margulis' lemma for \(\mathbb{Z}^n\)-actions, with applications to homology
- The horofunction boundary of the Heisenberg group
- An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
- The density at infinity of a discrete group of hyperbolic motions
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- The limit set of a Fuchsian group
- Geodesics in Heisenberg groups
- The Heisenberg group is pan-rational
- On the horoboundary and the geometry of rays of negatively curved manifolds
- Group \(C^*\)-algebras as compact quantum metric spaces
- A note on curvature and fundamental group
- Growth of finitely generated solvable groups and curvature of Riemannian manifolds
- Free subgroups in linear groups
- The Horofunction boundary of the Heisenberg Group: The Carnot-Carathéodory metric
- The horofunction boundary of the Hilbert geometry
- On the Asymptotics of the Growth of 2-Step Nilpotent Groups
- Croissance des boules et des géodésiques fermées dans les nilvariétés
- Ergodicité et équidistribution en courbure négative
- On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry
- The horofunction boundary of finite-dimensional normed spaces
- Sub-Riemannian Geometry and Optimal Transport
- Busemann points of infinite graphs
- Control of Nonholonomic Systems: from Sub-Riemannian Geometry to Motion Planning
- Strong Rigidity of Locally Symmetric Spaces. (AM-78)
This page was built for publication: Asymptotic behavior of the Riemannian Heisenberg group and its horoboundary