Contact Diffeomorphisms

  • Augustin Banyaga
Part of the Mathematics and Its Applications book series (MAIA, volume 400)

Abstract

Recall that a contact form on a (2n + 1)-dimensional smooth manifold M is a 1-form α such that α Λ () n is everywhere non zero. A contact structure on a smooth manifold M is a hyperplane field HTM of the tangent bundle such that each point xM 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.

Keywords

Vector Field Smooth Manifold Cohomology Class Contact Structure Contact Form 
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 Dordrecht 1997

Authors and Affiliations

  • Augustin Banyaga
    • 1
  1. 1.Department of MathematicsThe Pennsylvania State UniversityUSA

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