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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Prescribing curvature with negative total curvature on open Riemann surfaces


Author: Jun Jie Tang
Journal: Proc. Amer. Math. Soc. 116 (1992), 1023-1030
MSC: Primary 53C21; Secondary 35J60
DOI: https://doi.org/10.1090/S0002-9939-1992-1110554-3
MathSciNet review: 1110554
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Abstract: On open Riemann surfaces, we obtain a necessary and sufficient condition for conformal metrics to have prescribed curvature and the desired singularities leading to negative total curvature.


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DOI: https://doi.org/10.1090/S0002-9939-1992-1110554-3
Keywords: Riemann surface, conformal metric, prescribed curvature, asymptotic behaviour
Article copyright: © Copyright 1992 American Mathematical Society

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