Integral Submanifolds and Contact Transformations
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.
KeywordsSymplectic Manifold Contact Structure Lagrangian Submanifold Contact Manifold Contact Transformation
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