Abstract
Recall that a contact form on a (2n + 1)-dimensional smooth manifold M is a 1-form α such that α Λ (dα)n is everywhere non zero. A contact structure on a smooth manifold M is a hyperplane field H ⊂ TM of the tangent bundle such that each point x ∈ M has an open neighborhood U such that there exists a contact form α U defined on U the kernel of which is the restriction H U of H over U. The couple (M, H) is called a contact manifold.
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© 1997 Springer Science+Business Media Dordrecht
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Banyaga, A. (1997). Contact Diffeomorphisms. In: The Structure of Classical Diffeomorphism Groups. Mathematics and Its Applications, vol 400. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6800-8_6
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DOI: https://doi.org/10.1007/978-1-4757-6800-8_6
Publisher Name: Springer, Boston, MA
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