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Horizontal curves of hyperbolic metrics |
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| Authors: | Melanie?Rupflin |
| Institution: | 1.Mathematical Institute,University of Oxford,Oxford,UK;2.Mathematics Institute,University of Warwick,Coventry,UK |
| Abstract: | We analyse the fine convergence properties of one parameter families of hyperbolic metrics that move always in a horizontal direction, i.e. orthogonal to the action of diffeomorphisms. Such families arise naturally in the study of general curves of metrics on surfaces, and in one of the gradients flows for the harmonic map energy. |
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