This work is a fresh presentation of the Ahlfors-Weyl theory of holomorphic curves that takes into account some recent developments in Nevanlinna theory and several complex variables. The treatment is differential geometric throughout, and assumes no previous acquaintance with the classical theory of Nevanlinna. The main emphasis is on holomorphic curves defined over Riemann surfaces, which admit a harmonic exhaustion, and the main theorems of the subject are proved for such surfaces. The author discusses several directions for further research.
| ISBN: | 9780691080734 |
| Publication date: | 1st July 1992 |
| Author: | Hongxi Wu |
| Publisher: | Princeton University Press |
| Format: | Paperback |
| Pagination: | 219 pages |
| Series: | Annals of Mathematics Studies |
| Genres: |
Probability and statistics |