Contact structures on products

Details Contact structures on products Contact structures on products

2012-04-07

arxiv.org/abs/1204.1692v1

Mathematics

Symplectic Geometry

11 pages. Comments are welcome

Scientific paper

By a strong symplectic fold on a closed manifold $M$ we mean a decomposition $M=W_-\cup_N W_+,$ where $N$ is the common boundary of $W_-$ and $W_+,$ both parts are equipped with exact symplectic forms convex at the boundary $N$ and given by the same contact form in a neighborhood of $N.$ We show that if $M$ has a strong symplectic fold and $X$ is a closed contact manifold, then $X \times M$ is contact under some additional mild conditions on $X.$ Some new families of contact manifolds are obtained in this way.

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