Eliashberg, Yasha Unique holomorphically fillable contact structure on the 3-torus. (English) Zbl 0852.58034 Int. Math. Res. Not. 1996, No. 2, 77-82 (1996). 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) Cited in 36 Documents MSC: 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems Keywords:symplectically fillable; tight contact structures; contact structure PDFBibTeX XMLCite \textit{Y. Eliashberg}, Int. Math. Res. Not. 1996, No. 2, 77--82 (1996; Zbl 0852.58034) Full Text: DOI