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Contact type

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In mathematics, more precisely in symplectic geometry, a hypersurface of a symplectic manifold is said to be of contact type if there is 1-form such that and is a contact manifold, where is the natural inclusion.[1] The terminology was first coined by Alan Weinstein.

See also

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References

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  1. ^ Blair 2010, p. 29; McDuff & Salamon 2017, Definition 3.5.32.
  • Blair, David E. (2010). Riemannian geometry of contact and symplectic manifolds. Progress in Mathematics. Vol. 203 (Second edition of 2002 original ed.). Boston, MA: Birkhäuser Boston, Ltd. doi:10.1007/978-0-8176-4959-3. ISBN 978-0-8176-4958-6. MR 2682326. Zbl 1246.53001.
  • McDuff, Dusa; Salamon, Dietmar (2017). Introduction to symplectic topology. Oxford Graduate Texts in Mathematics (Third edition of 1995 original ed.). Oxford: Oxford University Press. doi:10.1093/oso/9780198794899.001.0001. ISBN 978-0-19-879490-5. MR 3674984. Zbl 1380.53003.