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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Holomorphic mappings into strictly convex domains which are Kobayashi isometries at one point


Author: Ian Graham
Journal: Proc. Amer. Math. Soc. 105 (1989), 917-921
MSC: Primary 32H15
MathSciNet review: 961406
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Abstract: Let $ M$ be a complex manifold of dimension $ n$ and let $ \Omega $ be a domain in $ {{\mathbf{C}}^n}$. Let $ f:M \to \Omega $ be a holomorphic map which is an isometry for the infinitesimal Kobayashi metric at one point. We given conditions on $ M$ and on $ \Omega $ which imply that $ F$ must be a biholomorphic map.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0961406-0
PII: S 0002-9939(1989)0961406-0
Article copyright: © Copyright 1989 American Mathematical Society