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International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 1, Pages 189-192
http://dx.doi.org/10.1155/S0161171294000268
A theorem of differential mappings of Riemann surfaces
1Department of Mathematics, Shandong University, Shandong, Jinan, China
2Department of Mathematics, University of Saskatchewan, Sask., Saskatoon S7N 0W0, Canada
Received 9 January 1992; Revised 23 March 1992
Copyright © 1994 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this paper, we have extended S.S. Chern's second basic theorem about holomorphic mapping between two Riemann surfaces to more general case, and also obtained two similar results.