| dc.contributor.author |
Saglam, Ismail |
|
| dc.date.accessioned |
2022-03-03T06:27:56Z |
|
| dc.date.available |
2022-03-03T06:27:56Z |
|
| dc.date.issued |
2021-04 |
|
| dc.identifier.citation |
Sağlam, İ. (2021). On the Moduli Space of Flat Tori Having Unit Area . International Electronic Journal of Geometry , 14 (1) , 59-65 . DOI: 10.36890/iejg.754478 |
tr_TR |
| dc.identifier.issn |
1307-5624 |
|
| dc.identifier.uri |
http://openacccess.atu.edu.tr:8080/xmlui/handle/123456789/3825 |
|
| dc.identifier.uri |
https://doi.org/10.36890/iejg.754478 |
|
| dc.description |
TR Dizin indeksli yayınlar koleksiyonu. / TR Dizin indexed publications collection. |
tr_TR |
| dc.description.abstract |
Inspiring 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. 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. |
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| dc.language.iso |
en |
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| dc.publisher |
International Electronic Journal of Geometry (IEJG) / Kazım İLARSLAN |
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| dc.relation.ispartofseries |
2021;Volume: 14 Issue: 1 |
|
| dc.subject |
weak metric |
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| dc.subject |
asymmetric metric |
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| dc.subject |
Teichmüller space |
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| dc.subject |
torus |
tr_TR |
| dc.subject |
flat metric |
tr_TR |
| dc.subject |
hyperbolic metric |
tr_TR |
| dc.title |
On the Moduli Space of Flat Tori Having Unit Area |
tr_TR |
| dc.type |
Article |
tr_TR |