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arXiv · 1605.06691

Horizontal curves of hyperbolic metrics

Melanie Rupflin·Peter M. Topping
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Abstract

We analyse the fine convergence properties of one parameter families of hyperbolic metrics, on a fixed underlying surface, that move always in a horizontal direction, i.e. orthogonal to the action of diffeomorphisms.

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Melanie Rupflin, Peter M. Topping. 2016-05-21. Horizontal curves of hyperbolic metrics. https://doi.org/10.1007/s00526-018-1386-y

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