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arXiv · 1812.00444

Removing a ray from a noncompact symplectic manifold

Xiudi Tang
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Abstract

We prove that any noncompact symplectic manifold which admits a properly embedded ray with a wide neighborhood is symplectomorphic to the complement of the ray by constructing an explicit symplectomorphism in the case of the standard Euclidean space. We use this excision trick to construct a nowhere vanishing Liouville vector fields on every cotangent bundle.

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Xiudi Tang. 2018-12-02. Removing a ray from a noncompact symplectic manifold. https://arxiv.org/abs/1812.00444

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