Upper estimates for hyperbolic metrics on subdomains

DOI10.1007/S00013-012-0369-ZzbMath1243.30086OpenAlexW2026244245MaRDI QIDQ420967

Manabu Ito

Publication date: 23 May 2012

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-012-0369-z

zbMATH Keywords

Fuchsian groupRiemann surfacehyperbolic metricSchwarz-Pick lemma

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Covering theorems in conformal mapping theory (30C25)

Related Items (5)

Upper estimates for hyperbolic metrics on subdomains: the case of equality ⋮ An estimate for the hyperbolic lengths of closed geodesics on Riemann surfaces II ⋮ Yet another proof for a theorem of Landau on Koebe domains ⋮ Lower estimates for hyperbolic metrics on subdomains ⋮ An estimate for the hyperbolic length of closed geodesics on Riemann surfaces

Cites Work

• Estimates for the hyperbolic metric
• On the multiplicity of the image of simple closed curves via holomorphic maps between compact Riemann surfaces

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