摘要
Let T(S) be the Teichmuller space of a Riemann surface S. By definition, a geodesic disc in T(S) is the image of an isometric embedding of the Poincare disc into T(S). It is shown in this paper that for any non-Strebel point τ ∈ T(S), there are infinitely many aeodesic discs containina [0] and τ.
Let T(S) be the Teichmüller space of a Riemann surface S. By definition, a geodesic disc in T(S) is the image of an isometric embedding of the Poincaré disc into T(S). It is shown in this paper that for any non-Strebel point τ∈ T(S), there are infinitely many geodesic discs containing [O] and τ.
基金
supported by the 973-Project Foundation(Grant No.TG199075105)
the Research Fund for Doctoral Program of Higher Education,
