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