Hyperbolic lengths and conformal embeddings of Riemann surfaces

DOI10.1007/BF02773213zbMath0958.30032MaRDI QIDQ1976608

Makoto Masumoto

Publication date: 19 September 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

conformal embeddingextremal lengthhyperbolic length

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Teichmüller theory for Riemann surfaces (30F60)

Related Items (3)

Holomorphic mappings of once-holed tori ⋮ Holomorphic mappings and basic extremal lengths of once-holed tori ⋮ Conformal surface embeddings and extremal length

Cites Work

• On analytic mappings of Riemann surfaces
• Abel's theorem for analytic mappings of an open Riemann surface into compact Riemann surfaces of genus one
• On the moduli set of continuations of an open Riemann surface of genus one
• Analytic self-mappings of Riemann surfaces
• Über analytische Abbildungen Riemannscher Flächen in sich
• On the prolongation of an open Riemann surface of finite genus
• Some Distortion Theorems for Multivalent Mappings
• One-parameter variations of the ideal boundary and compact continuations of a Riemann surface
• Extremal lengths of homology classes on Rieman surfaces
• Holomorphic and conformal mappings of open Riemann surfaces of genus one
• Elementary Proof of a Theorem on Conformal Rigidity
• ON THE MODULUS OF DOUBLY-CONNECTED DOMAINS
• Geometry and spectra of compact Riemann surfaces
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