2 problems

Let $\phi^t$ be a transitive Anosov flow with orientable stable and unstable foliations. A genus one Birkhoff section is a Birkhoff section whose underlying surface has genus one.…

Let $\phi$ be an Anosov flow whose stable and unstable foliations are orientable. A Birkhoff section is a compact surface transverse to the flow in its interior, with boundary cons…