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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Prescribing curvature on compact surfaces with conical singularities
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by Marc Troyanov
Trans. Amer. Math. Soc. 324 (1991), 793-821
DOI: https://doi.org/10.1090/S0002-9947-1991-1005085-9

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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Bibliographic 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