Abstract
LetT(S) be the Teichmüller space of a Riemann surfaceS. By definition, a geodesic disc inT(S) is the image of an isometric embedding of the Poincaré disc intoT(S). It is shown in this paper that for any non-Strebel pointτ ∈ T(S), there are infinitely many geodesic discs containing [0] and τ.
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Li, Z. Geodesic discs in teichmüller space. Sci. China Ser. A-Math. 48, 1075–1082 (2005). https://doi.org/10.1360/04ys0122
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DOI: https://doi.org/10.1360/04ys0122