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\title{Quasigeodesic Flows in Hyperbolic Three-manifolds}
\author{S\'{e}rgio Fenley}
\address{Fenley:
Department of Mathematics \\
Univ. of California \\
Berkeley, CA 94720}
\author{Lee Mosher}
\address{Mosher:
Dept. of Math and Computer Science\\
Rutgers University\\
Newark, NJ }
\thanks{Research at MSRI is supported in part by NSF grant DMS-9022140.
Both authors were supported by additional NSF grants.}

\begin{abstract}
Any closed, oriented,  hyperbolic
$3$-manifold with nontrivial second homology has many quasigeodesic
flows, where quasigeodesic means that flow lines are uniformly efficient
in measuring  distance in relative homotopy classes. The flows are
pseudo-Anosov flows which are  almost transverse to finite depth
foliations in the manifold. The main tool is the use of a sutured
manifold hierarchy which has good geometric properties.
\end{abstract}

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