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The $C^{0}$ integrability of symplectic twist maps without conjugate points.

Authors :
ARCOSTANZO, MARC
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