Green's Functions for Quasi-Hyperbolic Metrics on Degenerating Riemann Surfaces with a Separating Node

Wing Keung To, Lin Weng

Research output: Contribution to journalArticle

Abstract

In this article, we consider a family of compact Riemann surfaces of genus q ≥ 2 degenerating to a Riemann surface with a separating node and many non-separating nodes. We obtain the asymptotic behavior of Green's functions associated to a continuous family of quasi-hyperbolic metrics on such degenerating Riemann surfaces.

Original languageEnglish
Pages (from-to)239-265
Number of pages27
JournalAnnals of Global Analysis and Geometry
Volume17
Issue number3
DOIs
Publication statusPublished - Jan 1 1999
Externally publishedYes

Fingerprint

Hyperbolic Metric
Riemann Surface
Green's function
Vertex of a graph
Genus
Asymptotic Behavior
Family

All Science Journal Classification (ASJC) codes

  • Analysis
  • Political Science and International Relations
  • Geometry and Topology

Cite this

Green's Functions for Quasi-Hyperbolic Metrics on Degenerating Riemann Surfaces with a Separating Node. / To, Wing Keung; Weng, Lin.

In: Annals of Global Analysis and Geometry, Vol. 17, No. 3, 01.01.1999, p. 239-265.

Research output: Contribution to journalArticle

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