Adapted complex structures in a neighborhood of an isotropic embedding

DOI10.1007/BF02921828zbMath1006.53068MaRDI QIDQ5904078

Frank Loose

Publication date: 10 August 1998

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

symplectic manifoldisotropic embeddingcanonical 1-formadapted complex structure

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Other complex differential geometry (53C56)

Cites Work

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• Liouville forms in a neighborhood of an isotropic embedding
• Quelques propriétés fondamentales des ensembles analytiques-réels
• On Levi's problem and the imbedding of real-analytic manifolds
• Neighborhood classification of isotropic embeddings
• Grauert tubes and the homogeneous Monge-Ampère equation
• Global solutions of the homogeneous complex Monge-Ampère equation and complex structures on the tangent bundle of Riemannian manifolds
• Stratified symplectic spaces and reduction
• Complex structures on tangent bundles of Riemannian manifolds
• Reduction of complex Hamiltonian \(G\)-spaces
• Curvatures of Monge-Ampère foliations and parabolic manifolds
• Holomorphic slices, symplectic reduction and multiplicities of representations
• Automorphisms of certain Stein manifolds
• Symplectic manifolds and their Lagrangian submanifolds
• Geometric Invariant Theory