A theorem of differential mappings of Riemann surfaces

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.

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Bibliographic Details
Main Authors: Peichu Hu, Mingze Yang
Format: Article
Language:English
Published: Wiley 1994-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171294000268
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author Peichu Hu
Mingze Yang
author_facet Peichu Hu
Mingze Yang
author_sort Peichu Hu
collection DOAJ
description 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.
format Article
id doaj-art-7d6dd90b36904bc6a6255716584800b0
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1994-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-7d6dd90b36904bc6a6255716584800b02025-02-03T01:20:56ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117118919210.1155/S0161171294000268A theorem of differential mappings of Riemann surfacesPeichu Hu0Mingze Yang1Department of Mathematics, Shandong University, Shandong, Jinan, ChinaDepartment of Mathematics, University of Saskatchewan, Sask., Saskatoon S7N 0W0, CanadaIn 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.http://dx.doi.org/10.1155/S0161171294000268Riemann surfacesdifferential mappingmeromorphic functionscritical pointsintegral form.
spellingShingle Peichu Hu
Mingze Yang
A theorem of differential mappings of Riemann surfaces
International Journal of Mathematics and Mathematical Sciences
Riemann surfaces
differential mapping
meromorphic functions
critical points
integral form.
title A theorem of differential mappings of Riemann surfaces
title_full A theorem of differential mappings of Riemann surfaces
title_fullStr A theorem of differential mappings of Riemann surfaces
title_full_unstemmed A theorem of differential mappings of Riemann surfaces
title_short A theorem of differential mappings of Riemann surfaces
title_sort theorem of differential mappings of riemann surfaces
topic Riemann surfaces
differential mapping
meromorphic functions
critical points
integral form.
url http://dx.doi.org/10.1155/S0161171294000268
work_keys_str_mv AT peichuhu atheoremofdifferentialmappingsofriemannsurfaces
AT mingzeyang atheoremofdifferentialmappingsofriemannsurfaces
AT peichuhu theoremofdifferentialmappingsofriemannsurfaces
AT mingzeyang theoremofdifferentialmappingsofriemannsurfaces