On the persistence of pseudo-holomorphic curves on an almost complex torus (with an appendix by Jürgen Pöschel)

DOI10.1007/BF01245189zbMath0829.53030OpenAlexW2167075206WikidataQ110897020 ScholiaQ110897020MaRDI QIDQ1895672

Jürgen K. Moser

Publication date: 22 January 1996

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144262

zbMATH Keywords

almost complex structurespseudo-holomorphic curvesBangert's theoremfoliations of holomorphic curvespersistence under perturbation

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Other complex differential geometry (53C56)

Related Items (4)

Tangent and normal bundles in almost complex geometry ⋮ Pseudoholomorphic 2-tori in \(\mathbb{T}^ 4\) ⋮ Existence of a complex line in tame almost complex tori ⋮ Analytic solutions of nonlinear elliptic equations on rectangular tori

Cites Work

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• On commuting circle mappings and simultaneous Diophantine approximations
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• Pseudo holomorphic curves in symplectic manifolds
• Minimal solutions of variational problems on a torus
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Some integration problems in almost-complex and complex manifolds
• Compact Manifolds and Hyperbolicity
• An outline of the theory of pseudoanalytic functions
• Conjugaison différentiable des difféomorphismes du cercle dont le nombre de rotation vérifie une condition diophantienne
• A stability theorem for minimal foliations on a torus
• Partial Differential Relations
• The inverse function theorem of Nash and Moser
• On the Structure of Compact Complex Analytic Surfaces, I

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