Mathematics – Symplectic Geometry
Scientific paper
2008-10-21
Journal of Topology and Analysis, Volume 2, Issue 1, 2010, pp. 77 - 98
Mathematics
Symplectic Geometry
18 pages, 1 figure; v3: completely rewritten, improved results
Scientific paper
10.1142/S1793525310000276
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.
Albers Peter
Frauenfelder Urs
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