Symplectic twist maps without conjugate points

Details Symplectic twist maps without conjugate points Symplectic twist maps without conjugate points

2003-09-30

arxiv.org/abs/math/0309470v1

Mathematics

Symplectic Geometry

12 pages with no fgures

Scientific paper

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.

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