HETEROCLINIC ORBITS FOR A CLASS OF HAMILTONIAN SYSTEMS ON RIEMANNIAN MANIFOLDS

摘要

Let M. be a smooth Riemannian manifold with the metric (gij) of dimension n, and let H =1/2g~ij+V(t,q) be a smooth Hamiltonian on M, where (gij) is the inverse matrix of (gij). Under suitable assumptions we prove the existence of heteroclinic orbits of the induced Hamiltonian systems.