Checking atomicity of conformal ending measures for kleinian groups

Kurt Falk, Katsuhiko Matsuzaki, Bernd O. Stratmann

研究成果: Article

1 被引用数 (Scopus)

抄録

In this paper we address questions of continuity and atomicity of conformal ending measures for arbitrary non-elementary Kleinian groups. We give sufficient conditions under which such ending measures are purely atomic. Moreover, we will show that if a conformal ending measure has an atom which is contained in the big horospherical limit set, then this atom has to be a parabolic fixed point. Also, we give detailed discussions of nontrivial examples for purely atomic as well as for non-atomic conformal ending measures.

本文言語English
ページ(範囲)167-183
ページ数17
ジャーナルConformal Geometry and Dynamics
14
DOI
出版ステータスPublished - 2010 9 6

ASJC Scopus subject areas

  • Geometry and Topology

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