Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Canal Surfaces in Galilean 3-Spaces

  • Received : 2016.07.14
  • Accepted : 2016.12.29
  • Published : 2017.06.23
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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.

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References

  1. S. Aslan and Y. Yayli, Canal Surfaces with Quaternions, Adv. Appl. Clifford Algebr., 26(2016), 31-38. https://doi.org/10.1007/s00006-015-0602-5
  2. R. T. Farouki and R. Sverrisson, Approximation of Rolling-ball Blends for Free-form Parametric Surfaces, Computer-Aided Design, 28(1996), 871-878. https://doi.org/10.1016/0010-4485(96)00008-5
  3. A. Gray, Modern Differential Geometry of Curves and Surfaces, CRC Press, BocaRaton Ann Arbor London Tokyo, (1993).
  4. Z. M. Sipus and B. Divjak, Translation Surfaces in the Galilean space, Glas. Mat. Ser III, 46(66)(2011), 455-469. https://doi.org/10.3336/gm.46.2.14
  5. G. Ozturk, B. Bulca, B. K. Bayram and K. Arslan, On Canal Surfaces in $E^3$, Selcuk J. Appl. Math., 11(2)(2010), 103-108.
  6. O. Roschel, Die Geometrie des Galileischen Raumes, Forschungszentrum Graz, Mathematisch-Statistische Sektion, Graz, (1985).
  7. Z. Xu, R. Feng and J.-G. Sun, Analytic and Algebraic Properties of Canal Surfaces, J. Comput. Appl. Math., 195(1-2)(2006), 220-228. https://doi.org/10.1016/j.cam.2005.08.002
  8. D. W. Yoon, On the Gauss Map of Tubular Surfaces in Galilean 3-space, Intern. J. Math. Anal., 8(45)(2014), 2229-2238. https://doi.org/10.12988/ijma.2014.4365
  9. A. Ucum and K. Ilarslan, New Types of Canal Surfaces in Minkowski 3-Space, Adv. Appl. Clifford Algebr., 26(1)(2016), 449-468 https://doi.org/10.1007/s00006-015-0556-7