Cotangent fiber translation
= Cotangent fiber translation
Translation by a <differential one-form> $\beta$ is $(x,\xi)\mapsto(x,\xi+\beta_x)$. It changes the <canonical one-form on a cotangent bundle> by $\pi^*\beta$. A <closed differential form> gives a <symplectomorphism>; an <exact differential form> gives a <Hamiltonian diffeomorphism> when compact support is not required.