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math.DG1999
Periodic motion of a charge on a manifold in the magnetic fields
Guangcun Lu
In this paper we prove the existence of a periodic motion of a charge on a large class of manifolds under the action of the magnetic fields. Our methods also give a class of closed…
math.DG1999
Gromov-Witten invariants and rigidity of Hamiltonian loops with compact support on noncompact symplectic manifolds
Guangcun Lu
In this paper the Gromov-Witten invariants on a class of noncompact symplectic manifolds are defined by combining Ruan-Tian's method with that of McDuff-Salamon. The main point of…