Integral Submanifolds and Contact Transformations

  • David E. Blair
Part of the Progress in Mathematics book series (PM, volume 203)


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 ∧ ()n ≠ 0, D is non-integrable. This nonintegrability was easily visualized, for example, in Example 3.2.6.


Symplectic Manifold Contact Structure Lagrangian Submanifold Contact Manifold Contact Transformation 
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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • David E. Blair
    • 1
  1. 1.Department of MathematicsMichigan State UniversityEast LansingUSA

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