Topological rigidity of closures of certain sparse unipotent orbits in finite-volume quotients of ∏_i=1^kSL₂(\mathbb R)

2024/08/25 by Zheng, Cheng
#Dynamical Systems (math.DS) #FOS: Mathematics #Primary 37A17 #Secondary 11J99

paper · doi:10.48550/arxiv.2408.13861

Abstract

We give a simple proof about the topological rigidity of closures of certain sparse unipotent orbits in G/Γ where G=∏_i=1^kSL₂(\mathbb R) and Γ is an irreducible lattice in G.

Related

• Topological rigidity of SL₂-quotients
• Rigidity of an Isometric SL(3,ℝ)-Action
• Counterexamples to a rigidity conjecture
• A note on Diophatine approximation in \rmSL₂(ℝ)
• Rigidity in dynamics and Möbius disjointness