Geodesic
Extension of the Wong–Rosay theorem to the unbounded case
Sbornik. Mathematics, Tome 186 (1995) no. 7, pp. 967-976 Cet article a éte moissonné depuis la source Math-Net.Ru

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The central result in this paper is an extension of the well-known Wong–Rosay theorem stating that a strictly pseudoconvex domain with non-compact automorphism group is biholomorphically equivalent to the unit ball in $\mathbb C^n$. The main distinction is that the requirement of boundedness of the domain is waived. 
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     title = {Extension of {the~Wong{\textendash}Rosay} theorem to the~unbounded case},
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     url = {http://geodesic.mathdoc.fr/item/SM_1995_186_7_a3/}
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A. M. Efimov. Extension of the Wong–Rosay theorem to the unbounded case. Sbornik. Mathematics, Tome 186 (1995) no. 7, pp. 967-976. http://geodesic.mathdoc.fr/item/SM_1995_186_7_a3/

[1] Rudin U., Teoriya funktsii v edinichnom share iz $\mathbb C^n$, Mir, M., 1984 | MR | Zbl

[2] Shabat B. V., Vvedenie v kompleksnyi analiz, Nauka, M., 1985 | MR

[3] Bedford E., Pinchuk S. I., “Oblasti v $\mathbb C^2$ s nekompaktnymi gruppami avtomorfizmov”, Matem. sb., 135 (177) (1988), 147–157 | Zbl

[4] Pinchuk S. I., “Sobstvennye golomorfnye otobrazheniya strogo psevdovypuklykh oblastei”, DAN SSSR, 241 (1978), 30–33 | MR | Zbl

[5] Pinchuk S. I., “Golomorfnaya neekvivalentnost nekotorykh klassov oblastei v $\mathbb C^n$”, Matem. sb., 111 (153) (1980), 61–86 | MR

[6] Khenkin G. M., “Analiticheskii polidisk golomorfno neekvivalenten strogo psevdovypukloi oblasti”, DAN SSSR, 210 (1973), 1026–1029 | MR | Zbl

[7] Forstneric F., Rosay J. P., “Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings”, Math. Ann., 279 (1987), 239–252 | DOI | MR | Zbl

[8] Graham I., “Boundary behavior of the Caratheodory and Kobayashi metrics on strictly pseudo-convex domain in $\mathbb C^n$”, Trans. Amer. Math. Soc., 207 (1975), 219–240 | DOI | MR | Zbl

[9] Narasimhan R., Several complex varyables, Chicago Lectures in Mathematics, University of Chicago Press, 1971 | MR

[10] Pinchuk S., “The Scaling Method and Holomorphic Mappings”, Trans. Amer. Math. Soc., 52 (1991), 151–161 | MR | Zbl

[11] Rosay J. P., “Sur une caracterisation de la boule parmi les domaines de $\mathbb C^n$ par son groupe d'automorphismes”, Ann. Inst. Fourier (Grenoble), 29 (1979), 91–97 | MR | Zbl

[12] Royden H. L., “Remarks on the Kobayashi metric”, Lecture Notes in Math., 185, Springer-Verlag, Berlin, 1977, 125–137 | MR

[13] Sibony N., A class of hyperbolic manifolds, Princeton University Press, 1981 | MR | Zbl

[14] Wong B., “Characterization of the unit ball in $\mathbb C^n$ by its automorphism group”, Invent. Math., 41 (1977), 253–257 | DOI | MR | Zbl