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Sur une caractérisation de la boule parmi les domaines de \(\mathbb{C}^n\) par son groupe d’automorphismes. (French) Zbl 0402.32001

MSC:
32A07 Special domains in \({\mathbb C}^n\) (Reinhardt, Hartogs, circular, tube) (MSC2010)
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References:
[1] H. CARTAN, LES fonctions de deux variables complexes et le problème de la représentation analytique, J. Math. Pures Appl., 10 (1931), 1-114 et : Sur les fonctions de plusieurs variables complexes, l’itération de transformations intérieures d’un domaine borné, Math. Z., 35 (1932), 760-773. · JFM 57.0387.01
[2] I. GRAHAM, Boundary behaviour of the caratheodory and Kobayashi metrics in strictly pseudo-convex domains in cn with smooth boundary, TAMS, 207 (1975), 219-240. · Zbl 0305.32011
[3] G. M. HENKIN, An analytic polyhedron is not holomorphically equivalent to a strictly pseudo-convex domain, Soviet Math. Dokl., vol. 14 n° 3 (1973). · Zbl 0288.32015
[4] L. HÖRMANDER, L2 estimates and existence theorems for the ∂ operator, Acta Math., 113 (1965), 89-152. · Zbl 0158.11002
[5] N. KERZMAN, Taut manifolds and domains of holomorphy in cn, Notices AMS, 16 (1969), 675-676.
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[7] R. NARASIMHAN, Several complex variables, The Univ. of Chicago Press, 1971. · Zbl 0223.32001
[8] B. WONG, Characterization of the unit ball in cn by its automorphism group, Inv. Math., 41 (1977), 253-257. · Zbl 0385.32016
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