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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The semi-global isometric embedding of surfaces with curvature changing signs stably
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by Wentao Cao PDF
Proc. Amer. Math. Soc. 147 (2019), 4343-4353 Request permission

Abstract:

A semi-global isometric embedding of abstract surfaces with Gaussian curvature changing signs of any finite order is obtained through solving the Darboux equation.
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Additional Information
  • Wentao Cao
  • Affiliation: Institute für mathematik, Universität Leipzig, D-04109, Leipzig, Germany
  • MR Author ID: 1111202
  • Email: wentao.cao@math.uni-leipzig.de
  • Received by editor(s): April 6, 2018
  • Received by editor(s) in revised form: January 11, 2019
  • Published electronically: May 17, 2019
  • Additional Notes: The research was supported by the ERC Grant Agreement No. 724298.
  • Communicated by: Jiaping Wang
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 4343-4353
  • MSC (2010): Primary 35M12, 53A05, 53C21
  • DOI: https://doi.org/10.1090/proc/14597
  • MathSciNet review: 4002546