Symplectic twist maps without conjugate points

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We consider a sequences of symplectic twist maps corresponding to Frenkel Kontorova variational functional. For such a sequence without conjugate points we construct an invariant Lagrangian subbundle. Using the ideas by E.Hopf from Riemannian geometry we show that absence of conjugate points is a rare property for this class of maps.
12 pages with no fgures

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Symplectic Geometry, Dynamical Systems, 37J35;3760;53D25

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http://salesiana.dossiersoluciones.com/handle/123456789/68704

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0309470
 http://arxiv.org/abs/math/0309470

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arXiv