The C⁰ integrability of symplectic twist maps without conjugate points
classification
🧮 math.DS
keywords
bundleconjugatecotangentmapspointssymplectictwistcontinuously
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We prove that symplectic twist maps defined on the cotangent bundle of the d-dimensional torus that have no conjugate points are $C^0$ integrable, i.e. the cotangent bundle is continuously foliated by a family of invariant Lagrangian graphs.
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