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Proceedings of the American Mathematical Society

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

 

 

The Ahlfors estimate


Author: John Erik Fornæss
Journal: Proc. Amer. Math. Soc. 75 (1979), 95-98
MSC: Primary 32H20; Secondary 30F30, 53B35
DOI: https://doi.org/10.1090/S0002-9939-1979-0529222-5
MathSciNet review: 529222
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Abstract: The Ahlfors estimate gives an upper bound on the growth of a complete Hermitian metric on the punctured unit disc, whose Gaussian curvature is bounded above by $ - 1$. A. Sommese has obtained certain lower bounds on the growth as well. We answer two questions concerning lower bounds, raised by Sommese.


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DOI: https://doi.org/10.1090/S0002-9939-1979-0529222-5
Keywords: Ahlfors lemma
Article copyright: © Copyright 1979 American Mathematical Society