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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Holomorphic mappings into strictly convex domains which are Kobayashi isometries at one point
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by Ian Graham PDF
Proc. Amer. Math. Soc. 105 (1989), 917-921 Request permission

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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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 105 (1989), 917-921
  • MSC: Primary 32H15
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0961406-0
  • MathSciNet review: 961406