A uniform Poincar\'e estimate for quadratic differentials on closed surfaces
Differential Geometry
2012-11-09 v1 Analysis of PDEs
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.
Cite
@article{arxiv.1211.1939,
title = {A uniform Poincar\'e estimate for quadratic differentials on closed surfaces},
author = {Melanie Rupflin and Peter M. Topping},
journal= {arXiv preprint arXiv:1211.1939},
year = {2012}
}