Complete metrics conformal to the hyperbolic disc
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- by J. Bland and Morris Kalka PDF
- Proc. Amer. Math. Soc. 97 (1986), 128-132 Request permission
Abstract:
In this paper we study complete metrics conformal to the hyperbolic disc. We show that any smooth function $K$ bounded between two negative constants is the curvature of such a metric. We also show that if $K \geq 0$ near the boundary, $K$ cannot be the curvature of such a metric.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 97 (1986), 128-132
- MSC: Primary 53A30; Secondary 35J15, 58G30
- DOI: https://doi.org/10.1090/S0002-9939-1986-0831400-6
- MathSciNet review: 831400