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On elementary antistretch lines

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Abstract

We solve the negative convergence problem for a particular class of stretch lines called elementary.

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References

  1. Choi, Y.-E., Rafi, K.: Comparison Between Teichmüller and Lipschitz Metric. arXiv: math.GT/0510136v1 7 Oct 2005

  2. Choi,Y.-E., Rafi, K., Series, C.: Lines of Minima and Teichmüller Geodesics. arXiv: math.GT/0605135v1 4 May 2006

  3. Fathi, A., Laudenbach, F., Poénaru, V. Travaux de Thurston sur les surfaces Astérisque, pp. 66–67 (1979)

  4. Minsky Y.: Extremal length estimates and product regions in Teichmüller space. Duke Math. J. 83, 249–286 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  5. Papadopoulos A.: On Thurston’s boundary of Teichmüller space and the extension of earthquakes. Topol. Appl. 41, 147–177 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  6. Papadopoulos, A., Théret, G.: On Teichmüller’s metric and Thurston’s asymmetric metric on Teichmüller space. Handbook of Teichmüller Theory, vol.1, pp. 111–204. IRMA Lect. Math. Theor. Phys., 11, Eur. Math. Soc. Zürich, 2007.

  7. Théret G.: On the negative convergence of Thurston’s stretch lines towards the boundary of Teichmüller space. Ann. Acad. Sci. Fenn. Math. 32, 381–408 (2007)

    MATH  MathSciNet  Google Scholar 

  8. Thurston, W.P.: Minimal Stretch Maps Between Hyperbolic Surfaces. arXiv:math/9801039

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Authors and Affiliations

  1. Department of Mathematical Science, University of Aarhus, Ny Munkegade, Building 1530, 8000, Aarhus C, Denmark

    Guillaume Théret

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  1. Guillaume Théret
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Correspondence to Guillaume Théret.

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Théret, G. On elementary antistretch lines. Geom Dedicata 136, 79–93 (2008). https://doi.org/10.1007/s10711-008-9275-8

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  • DOI: https://doi.org/10.1007/s10711-008-9275-8

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