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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 73 Issue: 1

Translation surfaces generating with some partner curve

Aykut Has(KAHRAMANMARAS SUTCU IMAM UNIVERSITY)0000-0003-0658-9365
Beyhan Yılmaz(KAHRAMANMARAS SUTCU IMAM UNIVERSITY)0000-0002-5091-3487
Sayfa
—
Yayın Tarihi
2024-03-16
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

For a better understanding of the results, examples are given and their drawings are made with the help of Mathematica.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this article, generating curves of translation surfaces are paired with some special curve pairs.
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Temel Bulgular & Veri:With the results obtained from these pairings, the developable and minimal translation surfaces are characterized.
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Sonuç & Katkı:For a better understanding of the results, examples are given and their drawings are made with the help of Mathematica.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Translation surface · Bertrand partner curve · Mannheim partner curve

Abstract

In this article, generating curves of translation surfaces are paired with some special curve pairs. With the results obtained from these pairings, the developable and minimal translation surfaces are characterized. In addition, the surface curvatures of the translation surface are obtained. For a better understanding of the results, examples are given and their drawings are made with the help of Mathematica.

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Bu Makaleye Atıf Yap

Has, A., Yılmaz, B. (2024). Translation surfaces generating with some partner curve. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 73 Issue: 1. https://doi.org/10.31801/cfsuasmas.1299533

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Kaynakça (27)

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