APPROXIMATION OF NON-HOLOMORPHIC MAPS, AND POLETSKY THEORY OF DISCS

DOI10.4134/JKMS.2003.40.3.423zbMath1040.32015OpenAlexW2019844485MaRDI QIDQ4709414

Jean-Pierre Rosay

Publication date: 2003

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

Full work available at URL: https://doi.org/10.4134/jkms.2003.40.3.423

zbMATH Keywords

complex manifoldholomorphic diskdisk functional

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Pseudoholomorphic curves (32Q65) Plurisubharmonic functions and generalizations (32U05)

Related Items (13)

Discs in complex manifolds with no bounded plurisubharmonic functions ⋮ Local approximation of non-holomorphic discs in almost complex manifolds ⋮ PLURIPOLAR SETS, REAL SUBMANIFOLDS AND PSEUDOHOLOMORPHIC DISCS ⋮ On proper discs in complex manifolds ⋮ Sets of approximation and interpolation in \(\mathbb C\) for manifold-valued maps ⋮ Poletsky theory of discs in almost complex manifolds ⋮ Minimal surfaces in minimally convex domains ⋮ Coordinate neighboorhoods of arcs and the approximation of maps into (almost) complex manifolds ⋮ Minimal hulls of compact sets in $\mathbb {R}^3$ ⋮ Holomorphic curves in complex spaces ⋮ Lelong functional on almost complex manifolds ⋮ The non-linear Cousin problem for 𝐽-holomorphic maps ⋮ A disc formula for plurisubharmonic subextensions in manifolds

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