On the shape of bers-maskit slices

Yohei Komori, Jouni Parkkonen

研究成果: Article

4 引用 (Scopus)

抜粋

We consider complex one-dimensional Bers-Maskit slices through the deformation space of quasifuchsian groups which uniformize a pair of punctured tori. In these slices, the pleating locus on one of the components of the convex hull boundary of the quotient three-manifold has constant rational pleating and constant hyperbolic length. We show that the boundary of such a slice is a Jordan curve which is cusped at a countable dense set of points. We will also show that the slices are not vertically convex, proving the phenomenon observed numerically by Epstein, Marden and Markovic.

元の言語English
ページ(範囲)179-198
ページ数20
ジャーナルAnnales Academiae Scientiarum Fennicae Mathematica
32
発行部数1
出版物ステータスPublished - 2007 12 1
外部発表Yes

ASJC Scopus subject areas

  • Mathematics(all)

フィンガープリント On the shape of bers-maskit slices' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

  • これを引用