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The $C^{0}$ integrability of symplectic twist maps without conjugate points.
- Source :
- Ergodic Theory & Dynamical Systems; Jan2021, Vol. 41 Issue 1, p48-65, 18p
- Publication Year :
- 2021
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01433857
- Volume :
- 41
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Ergodic Theory & Dynamical Systems
- Publication Type :
- Academic Journal
- Accession number :
- 147315668
- Full Text :
- https://doi.org/10.1017/etds.2019.49