On the continuity of bending

Geom. Topol. Monogr. 1 (1998), 317-334 We examine the dependence of the deformation obtained by bending quasi-Fuchsian structures on the bending lamination. We show that when we consider bending quasi-Fuchsian structures on a closed surface, the conditions obtained by Epstein and Marden to relate we...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Kourouniotis, Christos
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title
container_volume
creator Kourouniotis, Christos
description Geom. Topol. Monogr. 1 (1998), 317-334 We examine the dependence of the deformation obtained by bending quasi-Fuchsian structures on the bending lamination. We show that when we consider bending quasi-Fuchsian structures on a closed surface, the conditions obtained by Epstein and Marden to relate weak convergence of arbitrary laminations to the convergence of bending cocycles are not necessary. Bending may not be continuous on the set of all measured laminations. However we show that if we restrict our attention to laminations with non negative real and imaginary parts then the deformation depends continuously on the lamination.
doi_str_mv 10.48550/arxiv.math/9810195
format Article
fullrecord <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_math_9810195</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>math_9810195</sourcerecordid><originalsourceid>FETCH-LOGICAL-a715-c4508af0197fe6d1b228dbc242ad936d732f8399423aa549b1db4c6a3aeef7ba3</originalsourceid><addsrcrecordid>eNotzjkKAjEYQOE0FqKeQIt4gFmyzSSliBsI09gPfzYNaJQxit7etXrd40NoTMqcSyHKArpHuOcnSIdCSVISJfpo0kScDg6bc0wh3kJ64rPH2kUb4n6Ieh6OVzf6d4B2y8Vuvs62zWozn20zqInIDBelBP_-1d5VlmhKpdWGcgpWscrWjHrJlOKUAQiuNLGamwoYOOdrDWyApr_tF9heunCC7tl-oO0fyl7nsDlF</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>On the continuity of bending</title><source>arXiv.org</source><creator>Kourouniotis, Christos</creator><creatorcontrib>Kourouniotis, Christos</creatorcontrib><description>Geom. Topol. Monogr. 1 (1998), 317-334 We examine the dependence of the deformation obtained by bending quasi-Fuchsian structures on the bending lamination. We show that when we consider bending quasi-Fuchsian structures on a closed surface, the conditions obtained by Epstein and Marden to relate weak convergence of arbitrary laminations to the convergence of bending cocycles are not necessary. Bending may not be continuous on the set of all measured laminations. However we show that if we restrict our attention to laminations with non negative real and imaginary parts then the deformation depends continuously on the lamination.</description><identifier>DOI: 10.48550/arxiv.math/9810195</identifier><language>eng</language><subject>Mathematics - Geometric Topology</subject><creationdate>1998-10</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,781,886</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/math/9810195$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.math/9810195$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Kourouniotis, Christos</creatorcontrib><title>On the continuity of bending</title><description>Geom. Topol. Monogr. 1 (1998), 317-334 We examine the dependence of the deformation obtained by bending quasi-Fuchsian structures on the bending lamination. We show that when we consider bending quasi-Fuchsian structures on a closed surface, the conditions obtained by Epstein and Marden to relate weak convergence of arbitrary laminations to the convergence of bending cocycles are not necessary. Bending may not be continuous on the set of all measured laminations. However we show that if we restrict our attention to laminations with non negative real and imaginary parts then the deformation depends continuously on the lamination.</description><subject>Mathematics - Geometric Topology</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1998</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzjkKAjEYQOE0FqKeQIt4gFmyzSSliBsI09gPfzYNaJQxit7etXrd40NoTMqcSyHKArpHuOcnSIdCSVISJfpo0kScDg6bc0wh3kJ64rPH2kUb4n6Ieh6OVzf6d4B2y8Vuvs62zWozn20zqInIDBelBP_-1d5VlmhKpdWGcgpWscrWjHrJlOKUAQiuNLGamwoYOOdrDWyApr_tF9heunCC7tl-oO0fyl7nsDlF</recordid><startdate>19981026</startdate><enddate>19981026</enddate><creator>Kourouniotis, Christos</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>19981026</creationdate><title>On the continuity of bending</title><author>Kourouniotis, Christos</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a715-c4508af0197fe6d1b228dbc242ad936d732f8399423aa549b1db4c6a3aeef7ba3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1998</creationdate><topic>Mathematics - Geometric Topology</topic><toplevel>online_resources</toplevel><creatorcontrib>Kourouniotis, Christos</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Kourouniotis, Christos</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the continuity of bending</atitle><date>1998-10-26</date><risdate>1998</risdate><abstract>Geom. Topol. Monogr. 1 (1998), 317-334 We examine the dependence of the deformation obtained by bending quasi-Fuchsian structures on the bending lamination. We show that when we consider bending quasi-Fuchsian structures on a closed surface, the conditions obtained by Epstein and Marden to relate weak convergence of arbitrary laminations to the convergence of bending cocycles are not necessary. Bending may not be continuous on the set of all measured laminations. However we show that if we restrict our attention to laminations with non negative real and imaginary parts then the deformation depends continuously on the lamination.</abstract><doi>10.48550/arxiv.math/9810195</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext_linktorsrc
identifier DOI: 10.48550/arxiv.math/9810195
ispartof
issn
language eng
recordid cdi_arxiv_primary_math_9810195
source arXiv.org
subjects Mathematics - Geometric Topology
title On the continuity of bending
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-18T06%3A25%3A49IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20the%20continuity%20of%20bending&rft.au=Kourouniotis,%20Christos&rft.date=1998-10-26&rft_id=info:doi/10.48550/arxiv.math/9810195&rft_dat=%3Carxiv_GOX%3Emath_9810195%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true