ON THE BOUNDARY RIGIDITY PHENOMENON FOR AUTOMORPHISMS OF DOMAINS IN C-N

Authors
COUPET B SUKHOV A
Citation
B. Coupet et A. Sukhov, ON THE BOUNDARY RIGIDITY PHENOMENON FOR AUTOMORPHISMS OF DOMAINS IN C-N, Proceedings of the American Mathematical Society, 124(11), 1996, pp. 3371-3380
Citations number
30
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
11
Year of publication
1996
Pages
3371 - 3380
Database
ISI
SICI code
0002-9939(1996)124:11<3371:OTBRPF>2.0.ZU;2-0
Abstract
We prove that a piecewise smoothly bounded strictly pseudoconvex domai n with a non-compact automorphism group is biholomorphic to the ball. A boundary version of the Schwarz lemma for automorphisms of such a do main is settled.