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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Prescribing curvature on compact surfaces with conical singularities
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by Marc Troyanov PDF
Trans. Amer. Math. Soc. 324 (1991), 793-821 Request permission

Abstract:

We study the Berger-Nirenberg problem on surfaces with conical singularities, i.e. we discuss conditions under which a function on a Riemann surface is the Gaussian curvature of some conformal metric with a prescribed set of singularities of conical types.
References
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 324 (1991), 793-821
  • MSC: Primary 53C45; Secondary 30F10, 58G30
  • DOI: https://doi.org/10.1090/S0002-9947-1991-1005085-9
  • MathSciNet review: 1005085