Seminar series
Date
Mon, 08 Jun 2009
14:15
14:15
Location
L3
Speaker
Eric Swenson
Organisation
Brigham Young
It a classical result from Kleinian groups that a discrete group, $G$, of isometries of hyperbolic k-space $\Bbb H^k$ will act on the
boundary sphere, $S^{k-1}$, of $\Bbb H^k$ as a convergence group.
That is:
For every sequence of distinct isometries $(g_i)\subset G$ there is a subsequence ${g_i{_j})$ and points $n,p \in \S^{k-1}$ such that for $ x \in S^{k-1} -\{n\}$, $g_i_{j}(x) \to p$ uniformly on compact subsets