
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 - 1 . A. Sommese has obtained certain lower bounds on the growth as well. We answer two questions concerning lower bounds, raised by Sommese.
Riemann surfaces, Classical differential geometry, Ahlfors lemma, Gaussian curvature, Hermitian metrics on the punctured disk
Riemann surfaces, Classical differential geometry, Ahlfors lemma, Gaussian curvature, Hermitian metrics on the punctured disk
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