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Integral Submanifolds and Contact Transformations

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

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

Keywords

Symplectic Manifold Contact Structure Lagrangian Submanifold Contact Manifold Contact Transformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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