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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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Kobayashi isometries in convex domains
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by Armen Edigarian PDF
Proc. Amer. Math. Soc. 147 (2019), 5257-5261 Request permission

Abstract:

In [Invent. Math. 207 (2017), pp. 1289–1299] it is claimed that Kobayashi isometries in strictly convex domains are holomorphic or anti-holomorphic. Generally, following the idea of St. Antonakoudis of using the relation between Klein and Poincaré models, we give simplified and complete proof of this fact.
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Additional Information
  • Armen Edigarian
  • Affiliation: Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland
  • MR Author ID: 365638
  • Email: armen.edigarian@uj.edu.pl
  • Received by editor(s): March 20, 2019
  • Published electronically: July 1, 2019
  • Additional Notes: The author was supported in part by the Polish National Science Centre (NCN) grant no. 2015/17/B/ST1/00996.
  • Communicated by: Filippo Bracci
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 5257-5261
  • MSC (2010): Primary 32F45
  • DOI: https://doi.org/10.1090/proc/14681
  • MathSciNet review: 4021085