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- W3136735245 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." @default.
- W3136735245 created "2021-03-29" @default.
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- W3136735245 date "2021-04-15" @default.
- W3136735245 modified "2023-10-16" @default.
- W3136735245 title "On the Moduli Space of Flat Tori Having Unit Area" @default.
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- W3136735245 doi "https://doi.org/10.36890/iejg.754478" @default.
- W3136735245 hasPublicationYear "2021" @default.
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