Hyperbolic fixed points and periodic orbits of Hamiltonian diffeomorphisms
Hyperbolic fixed points and periodic orbits of Hamiltonian diffeomorphisms
We prove that for a certain class of closed monotone symplectic manifolds any Hamiltonian diffeomorphism with a hyperbolic fixed point must necessarily have infinitely many periodic orbits. Among the manifolds in this class are complex projective spaces, some Grassmannians, and also certain product manifolds such as the product of a …