Quadratic differentials and foliations

@article{Hubbard1979QuadraticDA,
  title={Quadratic differentials and foliations},
  author={John H. Hubbard and Howard A. Masur},
  journal={Acta Mathematica},
  year={1979},
  volume={142},
  pages={221-274}
}
This paper concerns the interplay between the complex structure of a Riemann surface and the essentially Euclidean geometry induced by a quadratic differential. One aspect of this geometry is the " trajectory structure" of a quadratic differential which has long played a central role in Teichmfiller theory starting with Teichmiiller's proof of the existence and uniqueness of extremal maps. Ahlfors and Bers later gave proofs of that result. In other contexts, Jenkins and Strebel have studied… 
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