Adapted complex structures in a neighborhood of an isotropic embedding

DOI10.1007/BF02921828zbMath0991.53053MaRDI QIDQ5915443

Frank Loose

Publication date: 11 December 2000

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

zbMATH Keywords

symplectic manifoldisotropic embedding

Mathematics Subject Classification ID

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

Cites Work

• 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
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