PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.) Vol. 75(89), pp. 217–232 (2004) 

CONFORMAL MAPPING OF RIEMANN SURFACES AND THE CLASSICAL THEORY OF UNIVALENT FUNCTIONSM. ShibaHiroshima University, JapanAbstract: Analytic mappings between Riemann surfaces are very natural objects in complex analysis. Corresponding to the classical univalent functions we have the class of injective holomorphic mappings — i.e., conformal embeddings — of a Riemann surface into another. We find indeed a number of analogies between them. On the other hand, because of the nonplanarity of the domain surface, we face some new problems which we have never encountered in the classical theory. We discuss various problems concerning the conformal embeddings. Classification (MSC2000): 30F99, 30C35; 30C55; 30F25, 30F45, 14H55; 76M40 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 27 Oct 2004. This page was last modified: 22 Feb 2005.
© 2004 Mathematical Institute of the Serbian Academy of Science and Arts
