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arXiv · 1606.03132

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

Marc Arcostanzo
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Abstract

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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Marc Arcostanzo. 2016-06-09. The $C^0$ integrability of symplectic twist maps without conjugate points. https://arxiv.org/abs/1606.03132

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