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The $C^{0}$ integrability of symplectic twist maps without conjugate points
Published online by Cambridge University Press: 15 August 2019
Abstract
It is proved that a symplectic twist map of the cotangent bundle $T^{\ast }\mathbb{T}^{d}$ of the $d$-dimensional torus that is without conjugate points is $C^{0}$-integrable, that is $T^{\ast }\mathbb{T}^{d}$ is foliated by a family of invariant $C^{0}$ Lagrangian graphs.
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- © Cambridge University Press, 2019
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