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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Simple curves in $\mathbb {R}^n$ and Ahlfors’ Schwarzian derivative
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by Martin Chuaqui and Julian Gevirtz PDF
Proc. Amer. Math. Soc. 132 (2004), 223-230 Request permission

Abstract:

We derive sharp injectivity criteria for mappings $f:(-1,1)\rightarrow \mathbb {R}^n$ in terms of Ahlfors’ definition of the Schwarzian derivative for such mappings.
References
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Additional Information
  • Martin Chuaqui
  • Affiliation: Facultad de Matemáticas, P. Universidad Católica de Chile, Casilla 306, Santiago 22, Chile
  • MR Author ID: 319580
  • Email: mchuaqui@mat.puc.cl
  • Julian Gevirtz
  • Affiliation: Facultad de Matemáticas, P. Universidad Católica de Chile, Casilla 306, Santiago 22, Chile
  • Email: jgevirtz@mat.puc.cl
  • Received by editor(s): January 3, 2002
  • Received by editor(s) in revised form: September 5, 2002
  • Published electronically: June 12, 2003
  • Additional Notes: Both authors were partially supported by Fondecyt Grants # 1000627 and # 7000627
  • Communicated by: Juha M. Heinonen
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 223-230
  • MSC (2000): Primary 53A04, 53A55; Secondary 30C55
  • DOI: https://doi.org/10.1090/S0002-9939-03-07013-8
  • MathSciNet review: 2021266