An estimate for the hyperbolic length of closed geodesics on Riemann surfaces

DOI10.1080/17476933.2018.1545762zbMath1421.30058OpenAlexW2903766967MaRDI QIDQ5227729

Hiroshi Yamamoto

Publication date: 7 August 2019

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2018.1545762

zbMATH Keywords

Riemann surfaceclosed hyperbolic geodesicupper estimate for the hyperbolic length

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45)

Related Items (1)

An estimate for the hyperbolic lengths of closed geodesics on Riemann surfaces II

Cites Work

• Upper estimates for hyperbolic metrics on subdomains
• Platonic surfaces
• On the multiplicity of the image of simple closed curves via holomorphic maps between compact Riemann surfaces
• Geometry and spectra of compact Riemann surfaces

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