The weinstein conjecture in product of symplectic manifolds

Abstract

In this paper, using pseudo-holomorphic curve method, one proves the Weinstein conjecture in the product P1 × P2 of two strongly geometrically bounded symplectic manifolds under some conditions with P1. In particular, if N is a closed manifold or a noncompact manifold of finite topological type, our result implies that the Weinstein conjecture in CP2 × T* N holds.