Pseudo-holomorphic curves and the Weinstein conjecture

Mathematics – Differential Geometry

Scientific paper

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Final version with refined statements. 12 pages, 4 figures. To appear Comm. Ana. Geom. Vol. 8, no.1 (2000), 115-131

Scientific paper

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.

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