Mathematical Research Letters

Volume 8, Issue 5, September 2001 pp. 637-640.

Almost continuous extension for taut foliations

Authors: Danny Calegari
Author institution: Harvard

Summary: A taut foliation ${\mathscr F}$ of a hyperbolic $3$--manifold $M$ has the continuous extension property for leaves in almost every direction; that is, for each leaf $\lambda$ of $\til{{\mathscr F}}$ and almost every geodesic ray $\gamma$ in $\lambda$ the limit of $\gamma$ in $\til{M}$ is a well--defined point in the ideal boundary of $\til{M} = {{\hbox{\anyt H}}}^3$.

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