Constructions of contact forms on products and piecewise fibered manifolds

Bogusław Hajduk; Rafał Walczak

Constructions of contact forms on products and piecewise fibered manifolds

Symplectic Geometry 2013-08-13 v4

Authors: Bogusław Hajduk , Rafał Walczak

Abstract

We study constructions of contact forms on closed manifolds. A notion of strong symplectic fold structure is defined and we prove that there is a contact form on $M \x X$ provided that $M$ admits such a structure and $X$ is contact. This result is extended to fibrations satisfying certain natural conditions. Some examples and applications are given.

Keywords

contact form closed manifold strong symplectic fold structure fibration piecewise fibered manifold

Cite

@article{arxiv.1204.1692,
  title  = {Constructions of contact forms on products and piecewise fibered manifolds},
  author = {Bogusław Hajduk and Rafał Walczak},
  journal= {arXiv preprint arXiv:1204.1692},
  year   = {2013}
}

Comments

23 pages, 3 figures. It is a new and rewritten version of previously submitted article. Some errors were corrected and some proofs were simplified. The material is presented in a more readable manner. Comments are welcome

Constructions of contact forms on products and piecewise fibered manifolds

Abstract

Keywords

Cite

Comments

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