Flowing maps to minimal surfaces
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Publication:2816474
DOI10.1353/ajm.2016.0035zbMath1357.53018arXiv1205.6298OpenAlexW2103964089MaRDI QIDQ2816474
Melanie Rupflin, Peter Miles Topping
Publication date: 22 August 2016
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.6298
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The parametric approach to the Willmore flow ⋮ Global weak solutions of the Teichmüller harmonic map flow into general targets ⋮ Uniqueness and nonuniqueness of limits of Teichmüller harmonic map flow ⋮ Horizontal curves of hyperbolic metrics ⋮ Teichmüller harmonic map flow from cylinders ⋮ Hyperbolic metrics on surfaces with boundary ⋮ A new conformal heat flow of harmonic maps ⋮ Asymptotics of the Teichmüller harmonic map flow ⋮ Finite‐time degeneration for variants of Teichmüller harmonic map flow ⋮ Refined asymptotics of the Teichmüller harmonic map flow into general targets ⋮ Variational methods in geometry ⋮ Analysis of boundary bubbles for almost minimal cylinders ⋮ Flowing maps to minimal surfaces: existence and uniqueness of solutions ⋮ A uniform Poincaré estimate for quadratic differentials on closed surfaces
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