NDLI: Variations at infinity in contact form geometry

Content Provider	Springer Nature Link
Author	Bahri, Abbas
Copyright Year	2009
Abstract	Let v be a nonsingular Morse–Smale vector field in the kernel of a contact form α, with Reeb vector field $$\xi$$ , defined on M$^{3}$. We establish that the associated variational problem at infinity defined by the action functional on the stratified space $$\bigcup \Gamma_{2k}$$ of curves made of $$\xi$$ -pieces of orbits alternating with $$\pm v$$ -pieces of orbits satisfies the Palais–Smale condition. This result takes a more special form for the standard contact structure of S$^{3}$.
Starting Page	265
Ending Page	289
Page Count	25
File Format	PDF
ISSN	16617738
Journal	Journal of Fixed Point Theory and Applications
Volume Number	5
Issue Number	2
e-ISSN	16617746
Language	English
Publisher	Birkhäuser-Verlag
Publisher Date	2009-01-01
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Critical points at infinity dual form contact form Global theory of symplectic and contact manifolds Variational methods Abstract critical point theory Mathematics Analysis Mathematical Methods in Physics
Content Type	Text
Resource Type	Article
Subject	Geometry and Topology Applied Mathematics Modeling and Simulation

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Variations at infinity in contact form geometry