论文标题
抛物面的准群群的变形空间的压力指标
Pressure metrics for deformation spaces of quasifuchsian groups with parabolics
论文作者
论文摘要
在本文中,我们在统一的cof fruchsian群体的准文字变形的空间QF上产生了映射类别的组不变压力度量。我们的压力度量是由QF上的分析压力形成QF(S)的分析压力,该分析压力仅在Fuchuchsian Locus上的纯弯曲载体上是变性的。我们的技术还表明,极限集的Hausdorff维度在QF上分析上有所不同。
In this paper, we produce a mapping class group invariant pressure metric on the space QF(S) of quasiconformal deformations of a co-finite area Fuchsian group uniformizing a surface S. Our pressure metric arises from an analytic pressure form on QF(S) which is degenerate only on pure bending vectors on the Fuchsian locus. Our techniques also show that the Hausdorff dimension of the limit set varies analytically over QF(S).