Bektaş Demirci B., Aksoyak F. K., Babaarslan M.
Diğer, ss.1-13, 2024
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Yayın Türü:
Diğer Yayınlar / Diğer
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Basım Tarihi:
2024
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Sayfa Sayıları:
ss.1-13
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Yozgat Bozok Üniversitesi Adresli:
Evet
Özet
In this paper, we study Kα--translators on parallel surfaces and canal surfaces in 3-dimensional Euclidean space E3. First, we investigate the condition under which two parallel surfaces can become Kα--translators moving with the same speed w. Then, we examine Kα--translators on canal surfaces and we show that if a canal surface is Kα--translator, then it must be a surface of revolution in E3. We also provide examples for moving a surface of revolution under K--flow (Gauss curvature flow) and K−1/2--flow (inverse Gauss curvature flow) along a direction w=(0,0,1) and we illustrate such surfaces using Wolfram Mathematica 10.4. Finally, we prove that no Kα--translators exist on the parallel surface of a rotational surface obtained from a canal surface with the same speed w, while the such rotational surfaces itself is a Kα--translator with speed w.