Koebe's general uniformisation theorem for planar Riemann surfaces

• Autorzy: Gollakota V. V. Hemasundar
• Języki publikacji: EN

Abstrakty

EN

We give a complete and transparent proof of Koebe's General Uniformisation Theorem that every planar Riemann surface is biholomorphic to a domain in the Riemann sphere ℂ̂, by showing that a domain with analytic boundary and at least two boundary components on a planar Riemann surface is biholomorphic to a circular-slit annulus in ℂ.

Kategorie tematyczne

• 30F10: Compact Riemann surfaces and uniformization

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 100
• Numer: 1
• Strony: 77-85

Daty

wydano

2011

Twórcy

autor

Gollakota V. V. Hemasundar

• Department of Mathematics, SIWS College, Mumbai, India

Identyfikatory

DOI

10.4064/ap100-1-7