Pseudo-holomorphic curves and the Weinstein conjecture
arXiv:dg-ga/9708006
Abstract
We established existence of periodic Reeb orbits for a large class of tight contact structures on closed 3-manifolds, notably the Stein fillable structures, based on a fundamental theorem of Cliff Taubes on symplectic 4-manifolds.
Final version with refined statements. 12 pages, 4 figures. To appear Comm. Ana. Geom. Vol. 8, no.1 (2000), 115-131