Almost complex manifolds and Cartan’s uniqueness theorem

DOI10.1090/S0002-9947-05-03973-5zbMath1088.32016MaRDI QIDQ3372153

Kang-Hyurk Lee

Publication date: 17 February 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

almost complex manifoldsH. Cartan theorempseudo-holomorphic mapping

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Almost complex manifolds (32Q60) Pseudoholomorphic curves (32Q65)

Related Items

THE CARATHE ́ODORY-CARTAN-KAUP-WU THEOREM ON KOBAYASHI HYPERBOLIC ALMOST COMPLEX MANIFOLDS ⋮ Generalized big Picard theorem for pseudo-holomorphic maps ⋮ Domains in almost complex manifolds with an automorphism orbit accumulating at a strongly pseudoconvex boundary point ⋮ Rudin's theorem for model domains ⋮ Stationary holomorphic discs and finite jet determination problems ⋮ On the differential geometric characterization of the Lee models ⋮ Compactness theorems for sequences of pseudo-holomorphic coverings between domains in almost complex manifolds ⋮ Cartan uniqueness theorem on nonopen sets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Complex analytic coordinates in almost complex manifolds
• Pseudo holomorphic curves in symplectic manifolds
• Holomorphic curves in symplectic geometry
• Pseudoholomorphic mappings and Kobayashi hyperbolicity
• Transversality in elliptic Morse theory for the symplectic action
• Perturbing analytic discs attached to maximal real submanifolds of \(\mathbb{C}^ N\)
• Existence of close pseudoholomorphic disks for almost complex manifolds and their application to the Kobayashi-Royden pseudonorm
• Some integration problems in almost-complex and complex manifolds