Geodesics and visual boundary of horospherical products
Abstract
We study the geometry of horospherical products by providing a description of their distances, geodesics and visual boundary. These products contain both discrete and continuous examples, including Cayley graphs of lamplighter groups and solvable Lie groups of the form ℝ ⋉ ( N 1 × N 2 ) , where N 1 and N 2 are two simply connected, nilpotent Lie groups.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Geometric and Algebraic Topology
Advanced Algebra and Geometry
Publication details
- Journal / source
- Annales de la faculté des sciences de Toulouse Mathématiques
- Volume
- 35
- Issue
- 2
- Pages
- 351–406
- Publication date
- 12 June 2026
- Language
- EN