The asymptotic behavior of Green's functions for quasi-hyperbolic metrics on degenerating Riemann surfaces

DOI10.1007/BF02677486zbMath0876.30045OpenAlexW2031142319MaRDI QIDQ1365306

Lin Weng, Wing-Keung To

Publication date: 28 August 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156314

zbMATH Keywords

Green's functiondegenerationRiemann surface

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Riemann surfaces; Weierstrass points; gap sequences (14H55) Deformations of special (e.g., CR) structures (32G07)

Cites Work

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• The hyperbolic metric and the geometry of the universal curve
• Asymptotics of the spectrum and the Selberg zeta function on the space of Riemann surfaces
• Spectral degeneration of hyperboloc Riemann surfaces
• The asymptotic behavior of Green's functions for degenerating hyperbolic surfaces
• Asymptotic behavior of Faltings's delta function
• The asymptotics of the Arakelov-Green's function and Faltings' delta invariant
• Theta functions on Riemann surfaces
• A General Schwarz Lemma for Kahler Manifolds
• Elliptic Partial Differential Equations of Second Order

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