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Removing a ray from a noncompact symplectic manifold

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 نشر من قبل Xiudi Tang
 تاريخ النشر 2018
  مجال البحث
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 تأليف Xiudi Tang




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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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