Koebe's general uniformisation theorem for planar Riemann surfaces

Gollakota V. V. Hemasundar. "Koebe's general uniformisation theorem for planar Riemann surfaces." Annales Polonici Mathematici 100.1 (2011): 77-85. <http://eudml.org/doc/280835>.

@article{GollakotaV2011,
abstract = {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.},
author = {Gollakota V. V. Hemasundar},
journal = {Annales Polonici Mathematici},
keywords = {Riemann surface; circular-slit domain; uniformization theorem},
language = {eng},
number = {1},
pages = {77-85},
title = {Koebe's general uniformisation theorem for planar Riemann surfaces},
url = {http://eudml.org/doc/280835},
volume = {100},
year = {2011},
}

TY - JOUR
AU - Gollakota V. V. Hemasundar
TI - Koebe's general uniformisation theorem for planar Riemann surfaces
JO - Annales Polonici Mathematici
PY - 2011
VL - 100
IS - 1
SP - 77
EP - 85
AB - 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.
LA - eng
KW - Riemann surface; circular-slit domain; uniformization theorem
UR - http://eudml.org/doc/280835
ER -