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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Improvements of upper curvature bounds
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by Alexander Lytchak and Stephan Stadler PDF
Trans. Amer. Math. Soc. 373 (2020), 7153-7166 Request permission

Abstract:

We prove that upper curvature bounds in the sense of Alexandrov can be improved locally by using appropriate conformal changes. As a new technical tool we derive a generalization to metric spaces and semi-convex functions of the classical differential geometric property that compositions of harmonic maps with convex functions are subharmonic.
References
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Additional Information
  • Alexander Lytchak
  • Affiliation: Mathematisches Institut, Universität Köln, Weyertal 86–90, 50931, Köln, Germany
  • MR Author ID: 679338
  • Email: alytchak@math.uni-koeln.de
  • Stephan Stadler
  • Affiliation: Mathematisches Institut der Universität München, Theresienstrasse 39, D-80333 München, Germany
  • MR Author ID: 1136806
  • Email: stadler@math.lmu.de
  • Received by editor(s): November 8, 2019
  • Received by editor(s) in revised form: January 20, 2020
  • Published electronically: August 5, 2020
  • Additional Notes: Both authors were partially supported by DFG grant SPP 2026.
  • © Copyright 2020 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 373 (2020), 7153-7166
  • MSC (2010): Primary 53C20, 53C23, 58E20
  • DOI: https://doi.org/10.1090/tran/8123
  • MathSciNet review: 4155203