2 problems

Let a closed manifold carry a geodesic flow that is analytically integrable, meaning integrable by real-analytic first integrals in the sense used in the source, and let…

Let $T_a$ be the fixed transformation, and let $f$ be a real-analytic function on either the real line or the circle: … Assume that $f$ is not affine. A set is jointly $T_a$- and…