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Journal Article

A uniform Poincare estimate for quadratic differentials on closed surfaces

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons61163

Rupflin,  Melanie
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1211.1939
(Preprint), 244KB

Rupflin_Topping.pdf
(Any fulltext), 282KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Rupflin, M., & Topping, P. M. (2014). A uniform Poincare estimate for quadratic differentials on closed surfaces. Calculus of Variations and Partial Differential Equations, 0759. doi:10.1007/s00526-014-0759-0.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000E-7C8B-D
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.