The contact-form existence problem for odd-dimensional manifolds with non-degenerate two-forms
Let be a closed, oriented, odd-dimensional smooth manifold equipped with a non-degenerate two-form.
Contact-form existence problem. Does admit a contact form?
This is described as one of the major open questions in contact topology. The supplied text gives no stronger resolution or additional hypotheses.
References
Primary source
Boguslaw Hajduk and Rafal Walczak, “On vector fields having properties of Reeb fields”, arXiv:1107.2411 (2011).
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