On the Moduli Space of Flat Tori Having Unit Area

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dc.contributor.authorSag?lam, İsmail
dc.date.accessioned2025-01-06T17:30:25Z
dc.date.available2025-01-06T17:30:25Z
dc.date.issued2021
dc.description.abstractInspiring from Thurston’s asymmetric metric on Teichmüller spaces, we define and study a natural (weak) metric on the Teichmüller space of the torus. We prove that this weak metric is indeed a metric: it separates points and it is symmetric. Our main strategy to do this is to compute the metric explicitly. We relate this metric with the hyperbolic metric on the upper half-plane. We define another metric which measures how much length of a closed geodesic changes when we deform a flat structure on the torus. We show that these two metrics coincide. © 2021
dc.description.sponsorshipResearch Fund of Adana Alparslan Turkes Science and Technology University, (18119001); TUBITAK
dc.identifier.doi10.36890/IEJG.754478
dc.identifier.endpage65
dc.identifier.issn1307-5624
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85108529512
dc.identifier.scopusqualityQ4
dc.identifier.startpage59
dc.identifier.trdizinid461840
dc.identifier.urihttps://doi.org/10.36890/IEJG.754478
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/461840
dc.identifier.urihttps://hdl.handle.net/20.500.14669/1603
dc.identifier.volume14
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherDergiPark
dc.relation.ispartofInternational Electronic Journal of Geometry
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241211
dc.subjectasymmetric metric
dc.subjectflat metric
dc.subjecthyperbolic metric
dc.subjectTeichmüller space
dc.subjecttorus
dc.subjectweak metric
dc.titleOn the Moduli Space of Flat Tori Having Unit Area
dc.typeArticle

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