Horizontal curves of hyperbolic metrics

We analyse the fine convergence properties of one parameter families of hyperbolic metrics that move always in a horizontal direction, i.e. orthogonal to the action of diffeomorphisms. Such families arise naturally in the study of general curves of metrics on surfaces, and in one of the gradients fl...

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Detalles Bibliográficos
Autores principales: Rupflin, Melanie, Topping, Peter M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6432971/
https://www.ncbi.nlm.nih.gov/pubmed/30971854
http://dx.doi.org/10.1007/s00526-018-1386-y
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author Rupflin, Melanie
Topping, Peter M.
author_facet Rupflin, Melanie
Topping, Peter M.
author_sort Rupflin, Melanie
collection PubMed
description We analyse the fine convergence properties of one parameter families of hyperbolic metrics that move always in a horizontal direction, i.e. orthogonal to the action of diffeomorphisms. Such families arise naturally in the study of general curves of metrics on surfaces, and in one of the gradients flows for the harmonic map energy.
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spelling pubmed-64329712019-04-08 Horizontal curves of hyperbolic metrics Rupflin, Melanie Topping, Peter M. Calc Var Partial Differ Equ Article We analyse the fine convergence properties of one parameter families of hyperbolic metrics that move always in a horizontal direction, i.e. orthogonal to the action of diffeomorphisms. Such families arise naturally in the study of general curves of metrics on surfaces, and in one of the gradients flows for the harmonic map energy. Springer Berlin Heidelberg 2018-06-15 2018 /pmc/articles/PMC6432971/ /pubmed/30971854 http://dx.doi.org/10.1007/s00526-018-1386-y Text en © The Author(s) 2018 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
Rupflin, Melanie
Topping, Peter M.
Horizontal curves of hyperbolic metrics
title Horizontal curves of hyperbolic metrics
title_full Horizontal curves of hyperbolic metrics
title_fullStr Horizontal curves of hyperbolic metrics
title_full_unstemmed Horizontal curves of hyperbolic metrics
title_short Horizontal curves of hyperbolic metrics
title_sort horizontal curves of hyperbolic metrics
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6432971/
https://www.ncbi.nlm.nih.gov/pubmed/30971854
http://dx.doi.org/10.1007/s00526-018-1386-y
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