Abstract
AbstractWe study the distribution of non-discrete orbits of geometrically finite groups in$${\text {SO}}(n,1)$$SO(n,1)acting on$${\mathbb {R}}^{n+1}$$Rn+1, and more generally on the quotient of$${\text {SO}}(n,1)$$SO(n,1)by a horospherical subgroup. Using equidistribution of horospherical flows, we obtain both asymptotics for the distribution of orbits for the action of general geometrically finite groups, and we obtain quantitative statements with additional assumptions.
Funder
Eric and Wendy Schmidt Fund for Strategic Innovation
Publisher
Springer Science and Business Media LLC
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献