논문KCI 등재
SOME ISOTROPIC CURVES AND REPRESENTATION IN COMPLEX SPACE C3
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초록
In this paper, we give a representation formula for an isotropic curve with pseudo arc length parameter and define the structure function of such curves. Using the representation formula and the Frenet formula, the isotropic Bertrand curve and k-type isotropic helices are characterized in the 3-dimensional complex space C3.
Abstract
In this paper, we give a representation formula for an isotropic curve with pseudo arc length parameter and define the structure function of such curves. Using the representation formula and the Frenet formula, the isotropic Bertrand curve and k-type isotropic helices are characterized in the 3-dimensional complex space C3.
참고문헌 (7)
- A. Ali, "k-type partially null and pseudo null slant helices in Minkowski 4-space", Math. Commun, 17(1), pp.93~103 (2012)
- R. A. Horn, "Topics in Matrix Analysis" (1991), Cambridge University Press
- H. Liu, "Representation formulas of curves in a two- and three-dimensional lightlike cone", Results Math, 59(3-4), pp.437~451 (2011)
- U. Pekmen, "On minimal space curves in the sense of Bertrand curves", Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat, 10, pp.3~8 (1999)
- B. Schwarz, "Complex nonoscillation theorems and criteria of univalence", Trans. Amer. Math. Soc, 80, pp.159~186 (1955)
- S. Yilmaz, "Contributions to differential geometry of isotropic curves in the complex space", J. Math. Anal. Appl, 374(2), pp.673~680 (2011)
- S. Yilmaz, "Some characterizations of isotropic curves in the Euclidean space", Int. J. Comput. Math. Sci, 2(2), pp.107~109 (2008)
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