On locally biholomorphic surjective mappings

@article{EwaLigocka2003,
abstract = {We prove that each open Riemann surface can be locally biholomorphically (locally univalently) mapped onto the whole complex plane. We also study finite-to-one locally biholomorphic mappings onto the unit disc. Finally, we investigate surjective biholomorphic mappings from Cartesian products of domains.},
author = {Ewa Ligocka},
journal = {Annales Polonici Mathematici},
keywords = {Riemann surface; Gunning-Narasimhan theorem; Riemann domain; locally biholomorphic; Riemann-Stein domain},
language = {eng},
number = {2},
pages = {127-135},
title = {On locally biholomorphic surjective mappings},
url = {http://eudml.org/doc/280286},
volume = {82},
year = {2003},
}

TY - JOUR
AU - Ewa Ligocka
TI - On locally biholomorphic surjective mappings
JO - Annales Polonici Mathematici
PY - 2003
VL - 82
IS - 2
SP - 127
EP - 135
AB - We prove that each open Riemann surface can be locally biholomorphically (locally univalently) mapped onto the whole complex plane. We also study finite-to-one locally biholomorphic mappings onto the unit disc. Finally, we investigate surjective biholomorphic mappings from Cartesian products of domains.
LA - eng
KW - Riemann surface; Gunning-Narasimhan theorem; Riemann domain; locally biholomorphic; Riemann-Stein domain
UR - http://eudml.org/doc/280286
ER -