Planar Riemann surfaces with uniformly distributed cusps: parabolicity and hyperbolicity

Katsuhiko Matsuzaki, José M. Rodríguez*

*この研究の対応する著者

研究成果: Article査読

抄録

We consider a planar Riemann surface R made of a non-compact simply connected plane domain from which an infinite discrete set of points is removed. We give several conditions for the collars of the cusps in R caused by these points to be uniformly distributed in R in terms of Euclidean geometry. Then we associate a graph G with R by taking the Voronoi diagram for the uniformly distributed cusps and show that G represents certain geometric and analytic properties of R.

本文言語English
ページ(範囲)1097-1112
ページ数16
ジャーナルMathematische Nachrichten
290
7
DOI
出版ステータスPublished - 2017 5

ASJC Scopus subject areas

  • 数学 (全般)

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