Contact type explained

\Sigma of a symplectic manifold (M,\omega) is said to be of contact type if there is 1-form \alpha such that j ^{*} (\omega) = d\alpha and (\Sigma,\alpha) is a contact manifold, where j: \Sigma \to M is the natural inclusion. The terminology was first coined by Alan Weinstein.

See also

• Weinstein conjecture

References

• Book: Blair. David E.. Riemannian geometry of contact and symplectic manifolds. Second edition of 2002 original. Progress in Mathematics. 203. Birkhäuser Boston, Ltd.. Boston, MA. 2010. 2682326. 978-0-8176-4958-6. 10.1007/978-0-8176-4959-3. 1246.53001.
• Book: McDuff. Dusa. Salamon. Dietmar. Introduction to symplectic topology. Third edition of 1995 original. Oxford Graduate Texts in Mathematics. Oxford University Press. Oxford. 2017. 978-0-19-879490-5. 3674984. Dusa McDuff. Dietmar Salamon. 1380.53003. 10.1093/oso/9780198794899.001.0001.