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.
Reviewer: M.Puta (Timişoara)
MSC:
37J99 | Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems |