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Canal Surfaces in Pseudo-Galilean 3-Spaces

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In this paper, we define admissible canal surfaces with isotropic radius vectors in pseudo-Galilean 3-spaces and we obtaine their position vectors. We also attain some important results by considering their Gauss and mean curvatures.

Abstract

In this paper, we define admissible canal surfaces with isotropic radius vectors in pseudo-Galilean 3-spaces and we obtaine their position vectors. We also attain some important results by considering their Gauss and mean curvatures.

참고문헌 (7)

  1. Z. Erjavec, "On generalization of Helices in the Galilean and the pseudo-Galilean space"
  2. Z. Erjavec, "The equiform differential geometry of curves in the pseudoGalilean space", Math. Commun, 13, pp.321~332 (2008)
  3. A. Gray, "Modern differential geometry Of curves and surfaces" (1993), CRC Press
  4. A. O. Ogrenmis, "On the Gauss map of ruled surfaces of type II in 3-dimensional pseudo-Galilean space", Bol. Soc. Paran. Mat, 31(1), pp.145~152 (2013)
  5. G. Ozturk, "On canal surfaces in E3", Sel¸cuk J. Appl. Math, 11(2), pp.103~108 (2010)
  6. O. Roschel, "Die Geometrie des Galileischen Raumes, Forschungszentrum Graz, Mathematisch-Statistische Sektion, Graz, 1985", J. Math. Res., 6(3), pp.39~50 (2014)
  7. Z. M. Sipus, "Surfaces of constant curvature in the pseudo-Galilean space", Int. J. Math. Math. Sci., pp.28~ (2012)

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