Bounded diagonal orbits in homogeneous spaces over function fields
Abstract
This paper is about topological rigidity of diagonal group actions on the homogeneous space $ {\rm{SL}}_4\big( \mathbb{F}(\!(t^{-1})\!)\big)/{\rm{SL}}_4( \mathbb{F}[t]) $ where $ \mathbb{F} $ is a finite field of characteristic $ p $ for $ p \equiv 3 \mod 4 $ or $ p = 5 $. We show that there is a non-closed relatively compact orbit of the diagonal group.
Fields of Study & Subjects
Advanced Differential Geometry Research
Cosmology and Gravitation Theories
Advanced Differential Equations and Dynamical Systems
Publication details
- Journal / source
- Journal of Modern Dynamics
- Volume
- 22
- Issue
- 0
- Pages
- 309–320
- Publication date
- 1 January 2026
- Language
- EN