Limit sets for convex cocompact groups in higher rank symmetric spaces

2018/04/30 by Kim, Sungwoon
#22E40 #53C35 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1804.11042

Abstract

We show that every limit point of a Zariski dense discrete subgroup Γ of the isometry group of a symmetric space of noncompact type is conical if and only if Γ is convex cocompact.

Related

• Convex cocompact groups in real hyperbolic spaces with limit set a Pontryagin sphere
• Cohomology of convex cocompact groups and invariant distributions on limit sets
• Limits of limit sets in rank-one symmetric spaces
• Uniform convergence in the mapping class group
• Asymptotic geometry in higher products of rank one Hadamard spaces