The Euclidean, hyperbolic, and spherical spans of an open Riemann surface of low genus and the related area theorems
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Publication:1261828
DOI10.2996/kmj/1138039710zbMath0782.30036OpenAlexW1968325809MaRDI QIDQ1261828
Publication date: 7 September 1993
Published in: Kodai Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2996/kmj/1138039710
General theory of conformal mappings (30C35) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Differentials on Riemann surfaces (30F30)
Related Items (7)
On the moduli set of continuations of an open Riemann surface of genus one ⋮ Conformal Embeddings of an Open Riemann Surface into Another — A Counterpart of Univalent Function Theory — ⋮ Realizations of the ideal boundary of a planar riemann surface in the sphere ⋮ A minimal area problem in conformal mapping. II ⋮ Univalence of a complex linear combination of two extremal parallel slit mappings ⋮ Holomorphic mappings of once-holed tori. II. ⋮ Conformal surface embeddings and extremal length
Cites Work
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- The Riemann-Hurwitz relation, parallel slit covering map, and continuation of an open Riemann surface of finite genus
- A classification problem for Riemann surfaces of genus 1.
- On some span theorems
- The span of multiply connected domains
- The Moduli of Compact Continuations of an Open Riemann Surface of Genus One
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