Author:
Senior David Bechara,Hryniewicz Umberto L.,Salomão Pedro A. S.
Abstract
<p style='text-indent:20px;'>We introduce numerical invariants of contact forms in dimension three and use asymptotic cycles to estimate them. As a consequence, we prove a version for Anosov Reeb flows of results due to Hutchings and Weiler on mean actions of periodic points. The main tool is the Action-Linking Lemma, expressing the contact area of a surface bounded by periodic orbits as the Liouville average of the asymptotic intersection number of most trajectories with the surface.</p>
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Algebra and Number Theory,Analysis,Applied Mathematics,Algebra and Number Theory,Analysis
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