2017年5月
Planar Riemann surfaces with uniformly distributed cusps: parabolicity and hyperbolicity
Mathematische Nachrichten
- ,
- 巻
- 290
- 号
- 7
- 開始ページ
- 1097
- 終了ページ
- 1112
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1002/mana.201400241
- 出版者・発行元
- WILEY-V C H VERLAG GMBH
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.
- リンク情報
-
- DOI
- https://doi.org/10.1002/mana.201400241
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000403091900009&DestApp=WOS_CPL
- Scopus
- https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85018951914&origin=inward
- Scopus Citedby
- https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85018951914&origin=inward
- URL
- http://orcid.org/0000-0003-0025-5372
- ID情報
-
- DOI : 10.1002/mana.201400241
- ISSN : 0025-584X
- eISSN : 1522-2616
- ORCIDのPut Code : 43140468
- SCOPUS ID : 85018951914
- Web of Science ID : WOS:000403091900009