Complete metrics conformal to the hyperbolic disc

Bland, J.; Kalka, Morris

doi:10.1090/S0002-9939-1986-0831400-6

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

Complete metrics conformal to the hyperbolic disc

Authors: J. Bland and Morris Kalka
Journal: Proc. Amer. Math. Soc. 97 (1986), 128-132
MSC: Primary 53A30; Secondary 35J15, 58G30
MathSciNet review: 831400
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Abstract: In this paper we study complete metrics conformal to the hyperbolic disc. We show that any smooth function bounded between two negative constants is the curvature of such a metric. We also show that if $K \geq 0$ near the boundary, cannot be the curvature of such a metric.

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