https://neckpinch.com/authors/ferdag-kahraman-aksoyak/New arXiv papers by Ferdağ Kahraman Aksoyak, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2412.15612/arxiv:2412.15612Fri, 20 Dec 2024 00:00:00 GMTBurcu Bektaş Demirci, Ferdağ Kahraman Aksoyak, Murat Babaarslan — In this paper, we study K^α–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 K^α–translators moving with the same speed w. Then, we examine K^α–translators on canal surfaces and we show that if a canal surface is K^α–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 K^α–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 K^α–translator with speed w.Other curvature flowsGauss curvature flowSelf-shrinkers & translators3-manifoldsRotational symmetry & warped products