Point Singularities and Conformal Metrics on Riemann Surfaces
Open Access
- 1 May 1988
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 103 (1), 222-224
- https://doi.org/10.2307/2047555
Abstract
Given a closed hyperbolic Riemann surface and a finite number of points, we prove the existence and uniqueness of hyperbolic conformal metrics with prescribed singularities or degeneracies at the given points.Keywords
This publication has 3 references indexed in Scilit:
- Conformal deformations of complete manifolds with negative curvatureJournal of Differential Geometry, 1985
- On the equation Δu + Ke2u = f and prescribed negative curvature in R2Journal of Mathematical Analysis and Applications, 1984
- Curvature Functions for Compact 2-ManifoldsAnnals of Mathematics, 1974