Abstract
Let M 2n+1 be a contact manifold with contact form η. We have seen that η = 0 defines a 2n-dimensional subbundle D called the contact distribution or subbundle and that since η ∧ (dη)n ≠ 0, D is non-integrable. This nonintegrability was easily visualized, for example, in Example 3.2.6.
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© 2002 Springer Science+Business Media New York
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Blair, D.E. (2002). Integral Submanifolds and Contact Transformations. In: Riemannian Geometry of Contact and Symplectic Manifolds. Progress in Mathematics, vol 203. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-3604-5_5
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DOI: https://doi.org/10.1007/978-1-4757-3604-5_5
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4757-3606-9
Online ISBN: 978-1-4757-3604-5
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