Poletsky theory of discs in almost complex manifolds

DOI10.1080/17476933.2012.734300zbMath1286.32013OpenAlexW2035364557MaRDI QIDQ5404709

Uroš Kuzman

Publication date: 28 March 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2012.734300

zbMATH Keywords

almost complex manifolds\(J\)-holomorphic discsdisc functionals\(J\)-plurisubharmonic functions

Mathematics Subject Classification ID

Almost complex manifolds (32Q60) Pseudoholomorphic curves (32Q65) Plurisubharmonic functions and generalizations (32U05)

Related Items (7)

Monge-Ampère operator on four dimensional almost complex manifolds ⋮ PLURIPOLAR SETS, REAL SUBMANIFOLDS AND PSEUDOHOLOMORPHIC DISCS ⋮ On the regularization of \(J\)-plurisubharmonic functions ⋮ On Poletsky theory of discs in compact manifolds ⋮ Minimal hulls of compact sets in $\mathbb {R}^3$ ⋮ Lelong functional on almost complex manifolds ⋮ A disc formula for plurisubharmonic subextensions in manifolds

Cites Work

• Deformations and transversality of pseudo-holomorphic discs
• Disc functionals and Siciak–Zaharyuta extremal functions on singular varieties
• Proper J-holomorphic discs in Stein domains of dimension 2
• Poletsky theory of disks on holomorphic manifolds
• APPROXIMATION OF NON-HOLOMORPHIC MAPS, AND POLETSKY THEORY OF DISCS
• Filling hypersurfaces by discs in almost complex manifolds of dimension 2

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