Even a tight contact structure, is more or less twisted. (Une structure de contact, même tendue, est plus ou moins tordue.) (French) Zbl 0819.53018
Using the papers of Y. Eliashberg [Ann. Inst. Fourier 42, No. 1-2, 165-192 (1992; Zbl 0756.53017)] and of J.-C. Sikorav [ Mém. Soc. Math. Fr., Nouv. Sér. 46, 151-167 (1991; Zbl 0751.58010)] the author proves the existence of non isometric tight contact structures on \(T^ 3\) and that all Lagrangian incompressible embedded tori in \(\mathbb{T}^ 2 \times (\mathbb{R}^ 2 \setminus \{0\})\) are homotopic.
Reviewer: P.Stavre (Craiova)
MSC:
| 53D35 | Global theory of symplectic and contact manifolds |
| 57R17 | Symplectic and contact topology in high or arbitrary dimension |
References:
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