Regularity of limit sets of Anosov representations

Regularity of limit sets of Anosov representations

In this paper, we establish necessary and sufficient conditions for the limit set of a projective Anosov representation to be a Cα$C^{\alpha }$‐submanifold of the real projective space for some α∈(1,2)$\alpha \in (1,2)$. We also calculate the optimal value of α$\alpha$ in terms of the eigenvalue dat...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of topology 2024-09, Vol.17 (3), p.n/a
Hauptverfasser: Zhang, Tengren, Zimmer, Andrew
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page n/a
container_issue 3
container_start_page
container_title Journal of topology
container_volume 17
creator Zhang, Tengren
Zimmer, Andrew
description In this paper, we establish necessary and sufficient conditions for the limit set of a projective Anosov representation to be a Cα$C^{\alpha }$‐submanifold of the real projective space for some α∈(1,2)$\alpha \in (1,2)$. We also calculate the optimal value of α$\alpha$ in terms of the eigenvalue data of the Anosov representation.
doi_str_mv 10.1112/topo.12355
format Article
fullrecord <record><control><sourceid>wiley_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1112_topo_12355</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>TOPO12355</sourcerecordid><originalsourceid>FETCH-LOGICAL-c1625-6d1d71bc784367da83791e7bdf1edc6a474d9398170074b769e2ffa7c3d19cea3</originalsourceid><addsrcrecordid>eNp9j01LxDAURYMoOI5u_AVdCx3zkjRpl8OgjjBQkXEd0nxIpNMMSVT677VWXLp698G5Fw5C14BXAEBucziGFRBaVSdoAaKiZc0IO_3LwM_RRUpvGHOCKV8g8mxf33sVfR6L4IreH3wuks1p-tZDSOGjiPYYbbJDVtmHIV2iM6f6ZK9-7xK93N_tN9ty1z48bta7UgMnVckNGAGdFjWjXBhVU9GAFZ1xYI3miglmGtrUIDAWrBO8scQ5JTQ10Gir6BLdzLs6hpSidfIY_UHFUQKWk62cbOWP7TcMM_zpezv-Q8p9-9TOnS897lgE</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Regularity of limit sets of Anosov representations</title><source>Wiley Online Library</source><creator>Zhang, Tengren ; Zimmer, Andrew</creator><creatorcontrib>Zhang, Tengren ; Zimmer, Andrew</creatorcontrib><description>In this paper, we establish necessary and sufficient conditions for the limit set of a projective Anosov representation to be a Cα$C^{\alpha }$‐submanifold of the real projective space for some α∈(1,2)$\alpha \in (1,2)$. We also calculate the optimal value of α$\alpha$ in terms of the eigenvalue data of the Anosov representation.</description><identifier>ISSN: 1753-8416</identifier><identifier>EISSN: 1753-8424</identifier><identifier>DOI: 10.1112/topo.12355</identifier><language>eng</language><ispartof>Journal of topology, 2024-09, Vol.17 (3), p.n/a</ispartof><rights>2024 The Author(s). The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c1625-6d1d71bc784367da83791e7bdf1edc6a474d9398170074b769e2ffa7c3d19cea3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1112%2Ftopo.12355$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1112%2Ftopo.12355$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,27901,27902,45550,45551</link.rule.ids></links><search><creatorcontrib>Zhang, Tengren</creatorcontrib><creatorcontrib>Zimmer, Andrew</creatorcontrib><title>Regularity of limit sets of Anosov representations</title><title>Journal of topology</title><description>In this paper, we establish necessary and sufficient conditions for the limit set of a projective Anosov representation to be a Cα$C^{\alpha }$‐submanifold of the real projective space for some α∈(1,2)$\alpha \in (1,2)$. We also calculate the optimal value of α$\alpha$ in terms of the eigenvalue data of the Anosov representation.</description><issn>1753-8416</issn><issn>1753-8424</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp9j01LxDAURYMoOI5u_AVdCx3zkjRpl8OgjjBQkXEd0nxIpNMMSVT677VWXLp698G5Fw5C14BXAEBucziGFRBaVSdoAaKiZc0IO_3LwM_RRUpvGHOCKV8g8mxf33sVfR6L4IreH3wuks1p-tZDSOGjiPYYbbJDVtmHIV2iM6f6ZK9-7xK93N_tN9ty1z48bta7UgMnVckNGAGdFjWjXBhVU9GAFZ1xYI3miglmGtrUIDAWrBO8scQ5JTQ10Gir6BLdzLs6hpSidfIY_UHFUQKWk62cbOWP7TcMM_zpezv-Q8p9-9TOnS897lgE</recordid><startdate>202409</startdate><enddate>202409</enddate><creator>Zhang, Tengren</creator><creator>Zimmer, Andrew</creator><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>202409</creationdate><title>Regularity of limit sets of Anosov representations</title><author>Zhang, Tengren ; Zimmer, Andrew</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1625-6d1d71bc784367da83791e7bdf1edc6a474d9398170074b769e2ffa7c3d19cea3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhang, Tengren</creatorcontrib><creatorcontrib>Zimmer, Andrew</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of topology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhang, Tengren</au><au>Zimmer, Andrew</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Regularity of limit sets of Anosov representations</atitle><jtitle>Journal of topology</jtitle><date>2024-09</date><risdate>2024</risdate><volume>17</volume><issue>3</issue><epage>n/a</epage><issn>1753-8416</issn><eissn>1753-8424</eissn><abstract>In this paper, we establish necessary and sufficient conditions for the limit set of a projective Anosov representation to be a Cα$C^{\alpha }$‐submanifold of the real projective space for some α∈(1,2)$\alpha \in (1,2)$. We also calculate the optimal value of α$\alpha$ in terms of the eigenvalue data of the Anosov representation.</abstract><doi>10.1112/topo.12355</doi><tpages>72</tpages></addata></record>
fulltext fulltext
identifier ISSN: 1753-8416
ispartof Journal of topology, 2024-09, Vol.17 (3), p.n/a
issn 1753-8416
1753-8424
language eng
recordid cdi_crossref_primary_10_1112_topo_12355
source Wiley Online Library
title Regularity of limit sets of Anosov representations
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-01T07%3A44%3A57IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-wiley_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Regularity%20of%20limit%20sets%20of%20Anosov%20representations&rft.jtitle=Journal%20of%20topology&rft.au=Zhang,%20Tengren&rft.date=2024-09&rft.volume=17&rft.issue=3&rft.epage=n/a&rft.issn=1753-8416&rft.eissn=1753-8424&rft_id=info:doi/10.1112/topo.12355&rft_dat=%3Cwiley_cross%3ETOPO12355%3C/wiley_cross%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