Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

On the boundary rigidity phenomenon for automorphisms of domains in $\mathbb {C}^n$

Author(s): Bernard Coupet; Alexander Sukhov
Journal: Proc. Amer. Math. Soc. 124 (1996), 3371-3380.
MSC (1991): Primary 32E35, 32A40
MathSciNet review: 1350936
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Abstract: We prove that a piecewise smoothly bounded strictly pseudoconvex domain with a non--compact automorphism group is biholomorphic to the ball. A boundary version of the Schwarz lemma for automorphisms of such a domain is settled.

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