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Canal Surfaces in Galilean 3-Spaces
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In this paper, we defined the admissible canal surfaces with isotropic radious vector in Galilean 3-spaces an we obtained their position vectors. Also we gave some important results by using their Gauss and mean curvatures.
Abstract
In this paper, we defined the admissible canal surfaces with isotropic radious vector in Galilean 3-spaces an we obtained their position vectors. Also we gave some important results by using their Gauss and mean curvatures.
참고문헌 (9)
- S. Aslan, "Canal Surfaces with Quaternions", Adv. Appl. Clifford Algebr, 26, pp.31~38 (2016)
- R. T. Farouki, "Approximation of Rolling-ball Blends for Free-form Parametric Surfaces", Computer-Aided Design, 28, pp.871~878 (1996)
- A. Gray, "ModernDifferential Geometry of Curves and Surfaces" (1993), CRC Press
- Z. M. Sipus, "Translation Surfaces in the Galilean space", Glas. Mat. Ser III, 46(66), pp.455~469 (2011)
- G. Ozturk, "On Canal Surfaces in E3", Sel¸cuk J. Appl. Math., 11(2), pp.103~108 (2010)
- O. Roschel, "Die Geometrie des Galileischen Raumes" (1985), Forschungszentrum Graz, Mathematisch-Statistische Sektion
- Z. Xu, "Analytic and Algebraic Properties of Canal Surfaces", J. Comput. Appl. Math., 195(1-2), pp.220~228 (2006)
- D. W. Yoon, "On the Gauss Map of Tubular Surfaces in Galilean 3-space", Intern. J. Math. Anal., 8(45), pp.2229~2238 (2014)
- A. Ucum, "New Types of Canal Surfaces in Minkowski 3-Space", Adv. Appl. Clifford Algebr, 26(1), pp.449~468 (2016)
관련 논문AI추천
Canal Surfaces in Pseudo-Galilean 3-SpacesMurat Kemal Karacan, Yılmaz Tuncer경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제2호On the Gauss Map of Tubular Surfaces in Pseudo Galilean 3-SpaceDae Won Yoon, Murat Kemal Karacan, Yılmaz Tuncer경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2022 · 제62권 제3호Surfaces of Revolution of Type 1 in Galilean 3-SpaceAli Cakmak, Hasan Es, Murat Kemal Karacan, Sezai Kiziltug경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제3호On the curvature functions of tube-like surfaces in the Galilean spaceAdel H. Sorour, Hossam Eldeen S. Abdel-Aziz대한수학회 · 대한수학회논문집2021 · 제36권 제3호Some characterizations of canal surfacesHuili Liu, Jinhua Qian, YOUNG HO KIM대한수학회 · 대한수학회보2016 · 제53권 제2호Geometric characterizations of canal surfaces in Minkowski 3-space $\mathbb{I}$부설산, 정승달, Jinhua Qian, Mengfei Su대한수학회 · 대한수학회보2019 · 제56권 제4호
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