Limit Set Intersection Theorems for Kleinian Groups and a Conjecture of Susskind

作者：Anderson James W^*

来源：Computational Methods and Function Theory, 2014, 14(2-3): 453-464.

DOI：10.1007/s40315-014-0078-7

• Kleinian group
• Limit set intersection theorem
• Susskind%26apos
• s conjecture

Susskind%26apos;s conjecture states that for subgroups and of a Kleinian group acting on , we have that , where is the set of conical limit points of and is the limit set of . We show that Susskind%26apos;s conjecture largely holds for purely loxodromic Kleinian groups and we present two examples to illustrate that Susskind%26apos;s conjecture is nearly optimal.

• 出版日期2014-10