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Characterization of the unit ball in \(\mathbb{C}^n\) by its automorphism group. (English) Zbl 0385.32016


MSC:

32T99 Pseudoconvex domains
32M10 Homogeneous complex manifolds
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References:

[1] Burns, D., Shnider, St. Spherical hypersurfaces in complex manifolds. Inventiones math.33, 223-246 (1976) · Zbl 0357.32012
[2] Diederich, K.: Das Randverhalten der Bergmanschen Kernfunktion und Metrik in streng pseudokonvexen Gebieten. Math. Ann.187, 9-36 (1970) · Zbl 0189.36702
[3] Diederich, K.: Über die 1. und 2. Ableitungen der Bergmanschen Kernfunktion und ihr Randverhalten. Math. Ann.203, 129-170 (1973) · Zbl 0253.32011
[4] Granham, I.: Boundary behavior of the Caratheodory and Koboyashi’ metrics on strongly pseudoconvex domains in ? n with smooth boundary. Trans. Amer. math. Soc.207, 219-240 (1975)
[5] Koboyashi, S.: Hyperbolic manifolds and holomorphic mappings. New York: Marcel Dekkar 1970
[6] Narasimhan, R.: Several complex variables. Chicago: The University of Chicago Press 1971 · Zbl 0223.32001
[7] Wong, B.: On the holomorphic curvature of some intrinsic metrics. (To appear) · Zbl 0364.32009
[8] Wong, B.: Boundary behavior of some intrinsic measures on strongly pseudoconvex bounded domains with smooth boundary. (To appear)
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