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arXiv · 2011.06562

A generalized Poincar\'e-Birkhoff theorem

Agustin Moreno·Otto van Koert
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Abstract

We prove a generalization of the classical Poincar\'e--Birkhoff theorem for Liouville domains, in arbitrary even dimensions. This is inspired by the existence of global hypersurfaces of section for the spatial case of the restricted three-body problem (as proved by the authors in arXiv:2011.10386).

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BibTeXRIS

Agustin Moreno, Otto van Koert. 2020-11-12. A generalized Poincar\'e-Birkhoff theorem. https://arxiv.org/abs/2011.06562

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