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Unique holomorphically fillable contact structure on the 3-torus. (English) Zbl 0852.58034

The author proves that the torus \(T^3\) admits a unique holomorphically fillable contact structure. As a consequence it follows that the standard contact structure on \(T^3\) given by \[ \cos \theta dx + \sin \theta dy = 0 \] is the unique strongly symplectically contact structure on the 3-torus.

MSC:

37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
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