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arXiv · 1211.1939

A uniform Poincaré estimate for quadratic differentials on closed surfaces

Melanie Rupflin·Peter M. Topping
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Abstract

We prove a uniform estimate, valid for every closed Riemann surface of genus at least two, that bounds the distance of any quadratic differential to the finite dimensional space of holomorphic quadratic differentials in terms of its antiholomorphic derivative.

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Melanie Rupflin, Peter M. Topping. 2012-11-08. A uniform Poincaré estimate for quadratic differentials on closed surfaces. https://arxiv.org/abs/1211.1939

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