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Advanced Nonlinear Studies

Editor-in-Chief: Ahmad, Shair

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Volume 8, Issue 1


Dynamics of a Contact Structure Along a Vector Field of its Kernel

Abbas Bahri / Yongzhong Xu
Published Online: 2016-03-10 | DOI: https://doi.org/10.1515/ans-2008-0104


In this paper we prove that in order to define the homology of [3], the hypothesis that there exists a vector field in the kernel of the contact form which defines a dual form with the same orientation is not essential. The technique is quantitative: as we introduce a large amount of rotation near the zeroes of the vector field in the kernel, we track down the modification of the variational problem and provide bounds on a key quantity (denoted by τ).

Keywords: Critical Points at infinity; Dual Form; Contact Form

About the article

Published Online: 2016-03-10

Published in Print: 2008-02-01

Citation Information: Advanced Nonlinear Studies, Volume 8, Issue 1, Pages 41–106, ISSN (Online) 2169-0375, ISSN (Print) 1536-1365, DOI: https://doi.org/10.1515/ans-2008-0104.

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© 2016 by Advanced Nonlinear Studies, Inc..

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