Diederich, Klas; Fornaess, John E. On the nature of thin complements of complete Kähler metrics. (English) Zbl 0527.32012 Math. Ann. 268, 475-495 (1984). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 3 Documents MSC: 32V40 Real submanifolds in complex manifolds 53C55 Global differential geometry of Hermitian and Kählerian manifolds 57R30 Foliations in differential topology; geometric theory 32B99 Local analytic geometry Keywords:thin complements; real submanifold; real codimension 2; nowhere linearly generating manifolds; complete Kaehler metric; CR submanifold Citations:Zbl 0485.32006; Zbl 0469.32003; Zbl 0476.32011; Zbl 0483.32012 PDFBibTeX XMLCite \textit{K. Diederich} and \textit{J. E. Fornaess}, Math. Ann. 268, 475--495 (1984; Zbl 0527.32012) Full Text: DOI EuDML References: [1] Bedford, E., Taylor, B.A.: The Dirichlet problem for the complex Monge-Ampère equation. Invent. Math.37, 1–44 (1976) · Zbl 0325.31013 · doi:10.1007/BF01418826 [2] Boggess, A., Polking, J.: Holomorphic extension ofCR functions. Duke Math. J.49, 757–784 (1982) · Zbl 0506.32003 · doi:10.1215/S0012-7094-82-04938-9 [3] Diederich, K., Pflug, P.: Über Gebiete mit vollständiger Kähler Metrik. Math. Ann.257, 191–198 (1981) · Zbl 0472.32011 · doi:10.1007/BF01458284 [4] Diederich, K., Fornaess, J.E.: Thin complements of complete Kähler domains. Math. Ann.259, 331–341 (1982) · Zbl 0476.32011 · doi:10.1007/BF01456945 [5] Diederich, K., Fornaess, J.E.: Smooth, but not complex-analytic pluripolar sets. Manuscripta Math.37, 121–125 (1982) · Zbl 0483.32012 · doi:10.1007/BF01239949 [6] El-Mir, M.H.: Sur le prolongement des courants positifs fermès. Thèse, Université Paris VI (1982) · Zbl 0512.32010 [7] Grauert, H.: Charaterisierung der Holomorphiegebiete durch die vollständige Kählersche Metrik. Math. Ann.131, 38–75 (1956) · Zbl 0073.30203 · doi:10.1007/BF01354665 [8] Harvey, R.: Removable singularities for positive currents. Am. J. Math.96, 67–78 (1974) · Zbl 0293.32015 · doi:10.2307/2373581 [9] Lelong, P.: Fonctions plurisousharmoniques et formes différentielles positives. Paris, London, New York: Gordon and Breach, Dunod 1968 · Zbl 0195.11603 [10] Ohsawa, T.: On complete Kähler domains withC 1-boundary. Publ. R.I.M.S. Kyoto Univ.16, 929–940 (1980) · Zbl 0458.32010 · doi:10.2977/prims/1195186937 [11] Ohsawa, T.: Analyticity of complements of complete Kähler domains. Proc. Japan Acad.56, Ser. A, 484–487 (1980) · Zbl 0485.32006 · doi:10.3792/pjaa.56.484 [12] Richberg, R.: Stetige streng pseudokonvexe Funktionen. Math. Ann.175, 257–286 (1968) · Zbl 0153.15401 · doi:10.1007/BF02063212 [13] Sadullaev, A.: A boundary uniqueness theorem in \(\mathbb{C}\) n . Mat. Sbornik101, (143) (1976) [Math. USSR Sb.30, 501–514 (1976)] · Zbl 0385.32007 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.