COMPLETE HYPERBOLIC NEIGHBORHOODS IN ALMOST-COMPLEX SURFACES

DOI10.1142/S0129167X0100071XzbMath1110.32306arXivmath/0002156WikidataQ126198201 ScholiaQ126198201MaRDI QIDQ2728536

R. Debalme, Sergey M. Ivashkovich

Publication date: 1 August 2001

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

Full work available at URL: https://arxiv.org/abs/math/0002156

zbMATH Keywords

Schwarz lemmaKobayashi hyperbolicalmost-complex manifold

Mathematics Subject Classification ID

Global differential geometry (53C99) Complex manifolds (32Q99)

Related Items (9)

Note on a theorem of Bangert ⋮ Hyperbolic embeddability of locally complete almost complex submanifolds ⋮ An almost complexe Bloch's theorem ⋮ Some aspects of analysis on almost complex manifolds with boundary ⋮ An almost complex version of a theorem by Green. ⋮ Schwarz-type lemmas for solutions of \(\bar\partial \)-inequalities and complete hyperbolicity of almost complex manifolds. ⋮ Almost complex manifolds and hyperbolicity ⋮ Hyperbolic embeddedness and extension-convergence theorems of \(J\)-holomorphic curves ⋮ Extension and convergence theorems of pseudoholomorphic maps

Cites Work

• Picard's theorem and hyperbolicity
• Pseudo holomorphic curves in symplectic manifolds
• Pseudoholomorphic mappings and Kobayashi hyperbolicity
• Existence of close pseudoholomorphic disks for almost complex manifolds and their application to the Kobayashi-Royden pseudonorm
• Invariant distances on complex manifolds and holomorphic mappings
• Hyperbolically imbedded spaces and the big Picard theorem
• STABILITY OF HYPERBOLIC IMBEDDEDNESS AND CONSTRUCTION OF EXAMPLES

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