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Odd dimensional tori are contact manifolds
Bourgeois, Frédéric
HAL, hal-01011013 / Harvested from HAL
We show that, for every contact manifold $M$ and for every Riemann surface $\Sigma$ of genus at least 1, the manifold $\Sigma \times M$ admits a contact structure. In particular, the tori $T^{2n+1}$ are contact manifolds.
Publié le : 2002-07-04
Classification:  [MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG]
@article{hal-01011013,
     author = {Bourgeois, Fr\'ed\'eric},
     title = {Odd dimensional tori are contact manifolds},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01011013}
}
Bourgeois, Frédéric. Odd dimensional tori are contact manifolds. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-01011013/