Reeb-Thurston stability for symplectic foliations

DOI10.1007/S00208-014-1167-7zbMath1331.53106arXiv1307.4363OpenAlexW2004225145WikidataQ59428800 ScholiaQ59428800MaRDI QIDQ500253

Marius Crainic, Ioan Mǎrcuţ

Publication date: 1 October 2015

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.4363

zbMATH Keywords

Poisson manifoldsymplectic foliationReeb stabilitycohomological variation

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (2)

Deformations of symplectic foliations ⋮ Deformations of Lagrangian submanifolds in log-symplectic manifolds

Cites Work

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• Rigidity around Poisson submanifolds
• Closed forms on symplectic fibre bundles
• Stability of symplectic leaves
• A generalization of the Reeb stability theorem
• Integrability of Poisson brackets
• Reeb stability for noncompact leaves
• A normal form theorem around symplectic leaves
• Reeb Stability for Noncompact Leaves in Foliated 3-Manifolds

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