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.
KeywordsVector Field Smooth Manifold Cohomology Class Contact Structure Contact Form
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