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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Volume: 49 Issue: 6

Translation surfaces in affine 3-space

Moahmd Saleem Lone(International Centre for Theoretical Sciences)0000-0001-5833-3594
Murat Kemal Karacan(USAK UNIVERSITY)0000-0002-2832-9444
Yilmaz Tunçer(USAK UNIVERSITY)0000-0001-8956-5814
Hasan Es(Gazı University)0000-0002-7732-8173
Pages
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Publication Date
2020-12-08
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We characterize the finite type non-degenerate translation surfaces with respect to the first affine and the second affine fundamental forms.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study translation surfaces in three dimensional affine space.
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Key Findings & Data:In this paper, we study translation surfaces in three dimensional affine space.
💡
Conclusion & Impact:We characterize the finite type non-degenerate translation surfaces with respect to the first affine and the second affine fundamental forms.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Affine space · Laplace operator · translation surfaces

Abstract

In this paper, we study translation surfaces in three dimensional affine space. We characterize the finite type non-degenerate translation surfaces with respect to the first affine and the second affine fundamental forms.

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Cite This Article

Lone, M. S., Karacan, M. K., Tunçer, Y., Es, H. (2020). Translation surfaces in affine 3-space. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 6. https://doi.org/10.15672/hujms.564921

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