2008/10/31 by Peter Albers, Urs Frauenfelder · 1 citation
Mathematics · #math.SG #math.DS #msc:53D40 #msc:37J10 #msc:58J05
paper · pdf · doi:10.1142/s1793525310000276
published as Journal of Topology and Analysis, Volume 2, Issue 1, 2010, pp. 77 - 98 · 18 pages, 1 figure; v3: completely rewritten, improved results
arxiv created 2009/11/04 · arxiv updated 2010/04/06
In this article we explain how critical points of a particular perturbation of the Rabinowitz action functional give rise to leaf-wise intersection points in hypersurfaces of restricted contact type. This is used to derive existence and multiplicity results for leaf-wise intersection points in hypersurfaces of restricted contact type in general exact symplectic manifolds. The notion of leaf-wise intersection points was introduced by Moser.