摘要
应用高维Jorgensen不等式得到了如下定理 :设g、h∈M( Rn) ,g是严格抛物元 ,<g ,h >是离散群 ,g和h无公共不动点 ,那么对 x∈Hn+ 1,sinh 12 ρ(x ,gx)sinh 12 ρ(x ,hgh- 1x)≥ 14。
In this paper,applying Jorgensen′s inequality in n ,we prove the following theorem:if g,h∈M( n),g is stricly parabolic, <g,h> is discrete, g and h have no common fixed points,then for all x in H n+1 ,sin h12ρ(x,gx) sin h12ρ(x,hgh -1 x)≥14.
