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Real hypersurfaces in complex manifolds. (English) Zbl 0302.32015

MSC:
32C99 Analytic spaces
32M05 Complex Lie groups, group actions on complex spaces
32Q99 Complex manifolds
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C10 \(G\)-structures
53C55 Global differential geometry of Hermitian and Kählerian manifolds
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[1] Cartan, E., Sur la géométrie pseudo-conforme des hypersurfaces de deux variables complexes, I.Ann. Math. Pura Appl., (4) 11 (1932), 17–90 (orOeuvres II, 2, 1931–1304); II,Ann. Scuola Norm. Sup. Pisa, (2) 1 (1932) 333–354 (orOeuvres III, 2, 1217–1238). · Zbl 0005.37304
[2] Fefferman, C., The Bergman Kernel and Biholomorphic Mappings of Pseudoconvex DomainsInvent. Math., 26 (1974), 1–65. · Zbl 0289.32012
[3] Hopf, H., Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche.Math. Ann., 104, 1931, 637–665, § 5. · JFM 57.0725.01
[4] Moser, J., Holomorphic equivalence and normal forms of hypersurfaces. To appear inProc. Symp. in Pure Math., Amer. Math. Soc.
[5] Nirenberg, L.,Lectures on linear partial differential equations. Regional Conf. Series in Math., No. 17 Amer. Math. Soc. 1973. · Zbl 0267.35001
[6] Poincaré, H., Les fonctions analytiques de deux variables et la représentation conforme.Rend. Circ. Mat. Palermo (1907), 185–220. · JFM 38.0459.02
[7] Tanaka, N., I. On the pseudo-conformal geometry of hypersurfaces of the space ofn complex variables.J. Math. Soc. Japan, 14 (1962), 397–429; II. Graded Lie algebras and geometric structures,Proc. US-Japan Seminar in Differential Geometry, 1965, 147–150. · Zbl 0113.06303
[8] Wells, R. O., Function theory on differentiable submanifolds.Contributions to Analysis, Academic Press, 1974, 407–441.
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