The Riemann-Hurwitz relation, parallel slit covering map, and continuation of an open Riemann surface of finite genus

zbMath0567.30033MaRDI QIDQ1059739

Masakazu Shiba

Publication date: 1984

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Riemann-Hurwitz relationfinite-sheeted covering surfaceideal boundary componentsslit mapping

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Riemann surfaces (30F99)

Related Items (7)

The Moduli of Compact Continuations of an Open Riemann Surface of Genus One ⋮ Once-holed tori embedded in Riemann surfaces ⋮ Holomorphic mappings and basic extremal lengths of once-holed tori ⋮ Conformal Embeddings of an Open Riemann Surface into Another — A Counterpart of Univalent Function Theory — ⋮ The Euclidean, hyperbolic, and spherical spans of an open Riemann surface of low genus and the related area theorems ⋮ Covering properties of extremal vertical slit mappings ⋮ On rigidity of pseudoconvex domains fibered by open Riemann surfaces according to directional moduli

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