Limits of limit sets II: Geometrically infinite groups

作者:Mj Mahan*; Series Caroline
来源:Geometry and Topology, 2017, 21(2): 647-692.
DOI:10.2140/gt.2017.21.647

摘要

We show that for a strongly convergent sequence of purely loxodromic finitely generated Kleinian groups with incompressible ends, Cannon-Thurston maps, viewed as maps from a fixed base limit set to the Riemann sphere, converge uniformly. For algebraically convergent sequences, we show that there exist examples where even pointwise convergence of Cannon-Thurston maps fails.

  • 出版日期2017