Marked length spectrum rigidity for Anosov magnetic surfaces

Marked length spectrum rigidity for Anosov magnetic surfaces

We show that if $M$ is a closed, connected, oriented surface, and two Anosov magnetic systems on $M$ are conjugate by a volume-preserving conjugacy isotopic to the identity, with their magnetic forms in the same cohomology class, then the metrics are isometric. This extends the recent result by Guil...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Assenza, Valerio, de Simoi, Jacopo, Reber, James Marshall, Terek, Ivo
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Differential Geometry
Mathematics - Dynamical Systems
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 Assenza, Valerio
de Simoi, Jacopo
Reber, James Marshall
Terek, Ivo
description We show that if $M$ is a closed, connected, oriented surface, and two Anosov magnetic systems on $M$ are conjugate by a volume-preserving conjugacy isotopic to the identity, with their magnetic forms in the same cohomology class, then the metrics are isometric. This extends the recent result by Guillarmou, Lefeuvre, and Paternain to the magnetic setting.
doi_str_mv 10.48550/arxiv.2409.20545
format Article
fullrecord <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2409_20545</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2409_20545</sourcerecordid><originalsourceid>FETCH-arxiv_primary_2409_205453</originalsourceid><addsrcrecordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjGw1DMyMDUx5WSw8U0syk5NUchJzUsvyVAoLkhNLikqzVUoykzPTMksqVRIyy9ScMzLL84vU8hNTM9LLclMViguLUpLTE4t5mFgTUvMKU7lhdLcDPJuriHOHrpge-ILijJzE4sq40H2xYPtMyasAgA37zW8</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Marked length spectrum rigidity for Anosov magnetic surfaces</title><source>arXiv.org</source><creator>Assenza, Valerio ; de Simoi, Jacopo ; Reber, James Marshall ; Terek, Ivo</creator><creatorcontrib>Assenza, Valerio ; de Simoi, Jacopo ; Reber, James Marshall ; Terek, Ivo</creatorcontrib><description>We show that if $M$ is a closed, connected, oriented surface, and two Anosov magnetic systems on $M$ are conjugate by a volume-preserving conjugacy isotopic to the identity, with their magnetic forms in the same cohomology class, then the metrics are isometric. This extends the recent result by Guillarmou, Lefeuvre, and Paternain to the magnetic setting.</description><identifier>DOI: 10.48550/arxiv.2409.20545</identifier><language>eng</language><subject>Mathematics - Differential Geometry ; Mathematics - Dynamical Systems</subject><creationdate>2024-09</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2409.20545$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2409.20545$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Assenza, Valerio</creatorcontrib><creatorcontrib>de Simoi, Jacopo</creatorcontrib><creatorcontrib>Reber, James Marshall</creatorcontrib><creatorcontrib>Terek, Ivo</creatorcontrib><title>Marked length spectrum rigidity for Anosov magnetic surfaces</title><description>We show that if $M$ is a closed, connected, oriented surface, and two Anosov magnetic systems on $M$ are conjugate by a volume-preserving conjugacy isotopic to the identity, with their magnetic forms in the same cohomology class, then the metrics are isometric. This extends the recent result by Guillarmou, Lefeuvre, and Paternain to the magnetic setting.</description><subject>Mathematics - Differential Geometry</subject><subject>Mathematics - Dynamical Systems</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjGw1DMyMDUx5WSw8U0syk5NUchJzUsvyVAoLkhNLikqzVUoykzPTMksqVRIyy9ScMzLL84vU8hNTM9LLclMViguLUpLTE4t5mFgTUvMKU7lhdLcDPJuriHOHrpge-ILijJzE4sq40H2xYPtMyasAgA37zW8</recordid><startdate>20240930</startdate><enddate>20240930</enddate><creator>Assenza, Valerio</creator><creator>de Simoi, Jacopo</creator><creator>Reber, James Marshall</creator><creator>Terek, Ivo</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20240930</creationdate><title>Marked length spectrum rigidity for Anosov magnetic surfaces</title><author>Assenza, Valerio ; de Simoi, Jacopo ; Reber, James Marshall ; Terek, Ivo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2409_205453</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Mathematics - Differential Geometry</topic><topic>Mathematics - Dynamical Systems</topic><toplevel>online_resources</toplevel><creatorcontrib>Assenza, Valerio</creatorcontrib><creatorcontrib>de Simoi, Jacopo</creatorcontrib><creatorcontrib>Reber, James Marshall</creatorcontrib><creatorcontrib>Terek, Ivo</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Assenza, Valerio</au><au>de Simoi, Jacopo</au><au>Reber, James Marshall</au><au>Terek, Ivo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Marked length spectrum rigidity for Anosov magnetic surfaces</atitle><date>2024-09-30</date><risdate>2024</risdate><abstract>We show that if $M$ is a closed, connected, oriented surface, and two Anosov magnetic systems on $M$ are conjugate by a volume-preserving conjugacy isotopic to the identity, with their magnetic forms in the same cohomology class, then the metrics are isometric. This extends the recent result by Guillarmou, Lefeuvre, and Paternain to the magnetic setting.</abstract><doi>10.48550/arxiv.2409.20545</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext_linktorsrc
identifier DOI: 10.48550/arxiv.2409.20545
ispartof
issn
language eng
recordid cdi_arxiv_primary_2409_20545
source arXiv.org
subjects Mathematics - Differential Geometry
Mathematics - Dynamical Systems
title Marked length spectrum rigidity for Anosov magnetic surfaces
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-08T07%3A30%3A16IST&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=Marked%20length%20spectrum%20rigidity%20for%20Anosov%20magnetic%20surfaces&rft.au=Assenza,%20Valerio&rft.date=2024-09-30&rft_id=info:doi/10.48550/arxiv.2409.20545&rft_dat=%3Carxiv_GOX%3E2409_20545%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