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  A uniform Poincare estimate for quadratic differentials on closed surfaces

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.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-7C8B-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-B8FA-D
Genre: Journal Article

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1211.1939 (Preprint), 244KB
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 Creators:
Rupflin, Melanie1, Author              
Topping, Peter M., Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: Mathematics, Differential Geometry, math.DG,Mathematics, Analysis of PDEs, math.AP,
 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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 Dates: 2012-11-082014-07
 Publication Status: Published online
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 Identifiers: arXiv: 1211.1939
DOI: 10.1007/s00526-014-0759-0
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Title: Calculus of Variations and Partial Differential Equations
Source Genre: Journal
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Pages: - Volume / Issue: - Sequence Number: 0759 Start / End Page: - Identifier: -