We study Anosov
flows in 3-manifolds whose stable and unstable foliations in the universal
cover have Hausdorff leaf space. We show that the intrinsic ideal boundaries
of distinct stable leaves can be canonically identified and similarly for the
unstable foliation. This is then applied to the case when the 3-manifold has
negatively curved fundamental group and leaves of the above foliations extend
continuously to the ideal boundaries. We prove that the continuous extension
restricted to the ideal boundaries respects the identifications of intrinsic
ideal points mentioned above. We also analyse the non injectivity of the
extension to the boundaries and show that there are uncountably many
almost periodic, non periodic orbits of the flow which lift to flow lines with
same ideal point in both directions. Finally we prove that the image of any
open set in the domain ideal boundary, contains open sets in the range ideal
boundary.
