Symplectic twist maps without conjugate points
辛几何
2007-05-23 v1 动力系统
摘要
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.
引用
@article{arxiv.math/0309470,
title = {Symplectic twist maps without conjugate points},
author = {M. L. Bialy and R. S. MacKay},
journal= {arXiv preprint arXiv:math/0309470},
year = {2007}
}
备注
12 pages with no fgures