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Variation of cone metrics on Riemann surfaces |
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| Authors: | Georg Schumacher Stefano Trapani |
| Affiliation: | a Fachbereich Mathematik und Informatik der Philipps-Universität, Hans-Meerwein-Strasse, Lahnberge, D-35032 Marburg, Germany b Dipartimento di Matematica, Universitá di Roma Tor Vergata, Via della Ricerca Scientifica, I-00133 Roma, Italy |
| Abstract: | We discuss the variational properties of the unique conical metric of constant curvature −1 associated to a compact Riemann surface together with a weighted divisor. |
| Keywords: | Hyperbolic cone metric Riemann surface Weighted divisor Weil-Petersson metric Holomorphic quadratic differentials |
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