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Journal of the American Mathematical Society

ISSN 1088-6834(online) ISSN 0894-0347(print)



Rigidity of holomorphic mappings and a new Schwarz lemma at the boundary

Authors: Daniel M. Burns and Steven G. Krantz
Journal: J. Amer. Math. Soc. 7 (1994), 661-676
MSC: Primary 32H02; Secondary 32H15
MathSciNet review: 1242454
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Abstract: A rigidity theorem for holomorphic mappings, in the nature of the uniqueness statement of the classical one-variable Schwarz lemma, is proved at the boundary of a strongly pseudoconvex domain. The result reduces to an interesting, and apparently new, result even in one complex dimension. The theorem has a variety of geometric and analytic interpretations.

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Keywords: Holomorphic mapping, boundary rigidity, Schwarz lemma
Article copyright: © Copyright 1994 American Mathematical Society