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Moscow Mathematical Journal, 2019, Volume 19, Number 3, Pages 465–484
DOI: https://doi.org/10.17323/1609-4514-2019-19-3-465-484 (Mi mmj743) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Mergelyan's and Arakelian's theorems for manifold-valued maps

F. Forstneričab

a Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana, Slovenia
b Institute of Mathematics, Physics and Mechanics, Jadranska 19, SI-1000 Ljubljana, Slovenia
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DOI: https://doi.org/10.17323/1609-4514-2019-19-3-465-484
Abstract: In this paper we show that Mergelyan's theorem holds for maps from open Riemann surfaces to Oka manifolds. This is used to prove the analogue of Arakelian's theorem on uniform approximation of holomorphic maps from closed subsets of plane domains to any compact complex homogeneous manifold.
Key words and phrases: Holomorphic map, homogeneous manifold, elliptic manifold, Oka manifold, Riemann surface, Arakelian's theorem, Mergelyan's theorem.
Funding agency Grant number
Slovenian Research Agency P1-0291
J1-7256
J1-9104
The author is supported by the research program P1-0291 and the grants J1-7256 and J1-9104 from ARRS, Republic of Slovenia.
Bibliographic databases:
Document Type: Article
MSC: 30E10, 32E10, 32E30, 32H02
Language: English
Citation: F. Forstnerič, “Mergelyan's and Arakelian's theorems for manifold-valued maps”, Mosc. Math. J., 19:3 (2019), 465–484
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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