New examples of Lagrangian rigidity

DOI10.1007/BF02773381zbMath1021.53056MaRDI QIDQ5951513

Vincent Borrelli

Publication date: 13 October 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

symplectic surgeryassociated vector field to an embeddingisotopy class of embeddingsLagrangian embeddingLagrangian immersionlinking classtotally real embedding

Mathematics Subject Classification ID

Rigidity results (53C24) Lagrangian submanifolds; Maslov index (53D12) Calibrations and calibrated geometries (53C38) Embeddings in differential topology (57R40) Isotopy in differential topology (57R52) Algebraic topology on manifolds and differential topology (57R19)

Related Items (2)

Unlinking and unknottedness of monotone Lagrangian submanifolds ⋮ Lagrangian Klein bottles in \({\mathbb{R}^{2n}}\)

Cites Work

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• Some global properties of contact structures
• Calibrated geometries
• Normal bundles of double dimension immersions, double points of Lagrangian immersions, and totally real embeddings
• On symplectic manifolds with some contact properties
• On the classification of Lagrange immersions
• Obstruction theory on homotopy classification of maps
• Linking class of Lagrangian or totally real embeddings
• New applications of Luttinger's surgery
• Plongements différentiables dans le domaine stable
• On the existence and classification of differentiable embeddings
• Symplectic manifolds with contact type boundaries

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