1 results
The
$C^{0}$ integrability of symplectic twist maps without conjugate points
- Part of
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- Journal:
- Ergodic Theory and Dynamical Systems / Volume 41 / Issue 1 / January 2021
- Published online by Cambridge University Press:
- 15 August 2019, pp. 48-65
- Print publication:
- January 2021
-
- Article
- Export citation
-
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.
