On locally biholomorphic surjective mappings

• Autorzy: Ewa Ligocka
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 30F99: None of the above, but in this section
• 32H02: Holomorphic mappings, (holomorphic) embeddings and related questions
• 30C55: General theory of univalent and multivalent functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 82
• Numer: 2
• Strony: 127-135

Daty

wydano

2003

Twórcy

autor

Ewa Ligocka

• Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/ap82-2-3