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Limits In PMF Of Teichmuller Geodesics.pdf

1406.0564.pdf
Preview of Limits in PMF of Teichmuller geodesics
🔗 Source: arxiv.org
📊 Size: 432 KB
📄 Pages: 39 pages
⬇️ Downloads: 214

Summary

The authors study the limit set in Thurston's compactification PMF of Teichmüller space of Teichmüller geodesics defined by quadratic differentials with minimal but not uniquely ergodic vertical foliations. They show that there are quadratic differentials with limit sets that are a unique point, a line segment, or a combination of both, and that these limit sets can overlap or be distinct for geodesics that stay a bounded distance apart. The authors also construct a Teichmüller geodesic and a simple closed curve γ such that the hyperbolic length of the geodesic in the homotopy class of γ varies between increasing and decreasing on an unbounded sequence of time intervals along the geodesic.

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The authors study the limit set in Thurston's compactification PMF of Teichmüller space of Teichmüller geodesics defined by quadratic differentials with...

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  • File Format: PDF
  • File Size: 432 KB
  • Pages: 39
  • Language: EN
  • Total Downloads: 214
  • Last Updated: 7 days ago

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