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Geodesic flows modeled by expansive flows: Compact surfaces without conjugate points and continuous Green bundles

Geodesic flows modeled by expansive flows: Compact surfaces without conjugate points and continuous Green bundles

We study the geodesic flow of a compact surface without conjugate points and genus greater than one and continuous Green bundles. Identifying each strip of bi-asymptotic geodesics induces an equivalence relation on the unit tangent bundle. Its quotient space is shown to carry the structure of a 3-dimensional compact manifold. …