Browse > Article
http://dx.doi.org/10.4134/JKMS.2003.40.3.423

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

Rosay, Jean-Pierre (Department of Mathematics University of Wisconsin)
Publication Information
Journal of the Korean Mathematical Society / v.40, no.3, 2003 , pp. 423-434 More about this Journal
Abstract
We prove an approximation result, and we get a new proof of the main result in [7]. I hope that this new proof may be a step towards a generalization of the Poletsky theory of discs to the case of almost complex manifolds.
Keywords
holomorphic discs; complex manifold;
Citations & Related Records

Times Cited By Web Of Science : 5  (Related Records In Web of Science)
Times Cited By SCOPUS : 4
연도 인용수 순위
1 A. Douady, Le problème des modules pour les sous espaces analytiques compact d'un space analytique donné, Ann. Inst. Fourier 16 (1966), 1-95.
2 B. Berndtsson and J.-P. Rosay, Quasi-Isometric Vector Bundles and Bounded Factorization of Holomorphic Matrices, to appear in Ann. Inst. Fourier.
3 F. Larusson and R. Sigurdsson, Plurisubharmonic functions and analytic discs on manifolds, J. Reine Angew. Math. 501 (1998), 1–39.
4 F. Larusson and R. Sigurdsson, Plurisubharmonicity of envelopes of disc functionals on manifolds, preprint
5 A. Edigarian, A note on Rosay's paper, preprint
6 L. Hormander, An Introduction to Complex Analysis in Several Complex Variables, Van Nostrand, Princeton, 1966.
7 E. Poletsky, Plurisubharmonic functions as solutions of variational problems, Proc. Symp. Pure Math. 52 (1991), 163–171.
8 J. P. Rosay, Poletsky theory of disks on holomorphic manifolds, Indiana Univ. Math. J. 52 (2003), 157–170.   DOI
9 H. L. Royden, The Extension of Regular Holomorphic Maps, Proc. Amer. Math. Soc. 43 (1974), 306–310.   DOI   ScienceOn