Continuous and discontinuous functions on deformation spaces of Kleinian groups

2021 ◽  
pp. 477-502
Author(s):  
Ken’ichi Ohshika
Keyword(s):  
Kleinian Groups ◽  
Deformation Spaces ◽  
Discontinuous Functions

scholarly journals The Topology of Deformation Spaces of Kleinian Groups

2000 ◽  
Vol 152 (3) ◽  
pp. 693 ◽  
Author(s):  
James W. Anderson ◽  
Richard D. Canary ◽  
Darryl McCullough
Keyword(s):  
Kleinian Groups ◽  
Deformation Spaces

scholarly journals Approximation by Maximal Cusps in Boundaries of Deformation Spaces of Kleinian Groups

2003 ◽  
Vol 64 (1) ◽  
pp. 57-109 ◽  
Author(s):  
Richard D. Canary ◽  
Marc Culler ◽  
SA'AR Hersonsky ◽  
Peter B. Shalen
Keyword(s):  
Kleinian Groups ◽  
Deformation Spaces

scholarly journals Free vs. locally free Kleinian groups

2019 ◽  
Vol 2019 (746) ◽  
pp. 149-170
Author(s):  
Pekka Pankka ◽  
Juan Souto
Keyword(s):  
Hausdorff Dimension ◽  
Kleinian Group ◽  
Cantor Set ◽  
Cantor Sets ◽  
Kleinian Groups ◽  
The Other ◽  
Limit Set ◽  
Limit Sets ◽  
Other Hand

Abstract We prove that Kleinian groups whose limit sets are Cantor sets of Hausdorff dimension < 1 are free. On the other hand we construct for any ε > 0 an example of a non-free purely hyperbolic Kleinian group whose limit set is a Cantor set of Hausdorff dimension < 1 + ε.

Kleinian groups acting onS 3 which are extensions

1998 ◽  
Vol 3 (4) ◽  
pp. 355-374
Author(s):  
L. Potyagailo
Keyword(s):  
Kleinian Groups
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