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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.
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참고문헌 (7)
참고문헌 신청
A. Ali / 2012 / k-type partially null and pseudo null slant helices in Minkowski 4-space / Math. Commun 17 (1) : 93 ~ 103
B. Schwarz / 1955 / Complex nonoscillation theorems and criteria of univalence / Trans. Amer. Math. Soc 80 : 159 ~ 186
H. Liu / 2011 / Representation formulas of curves in a two- and three-dimensional lightlike cone / Results Math 59 (3-4) : 437 ~ 451
R. A. Horn / 1991 / Topics in Matrix Analysis / Cambridge University Press
S. Yilmaz / 2008 / Some characterizations of isotropic curves in the Euclidean space / Int. J. Comput. Math. Sci 2 (2) : 107 ~ 109
B. Schwarz / 1955 / Complex nonoscillation theorems and criteria of univalence / Trans. Amer. Math. Soc 80 : 159 ~ 186
H. Liu / 2011 / Representation formulas of curves in a two- and three-dimensional lightlike cone / Results Math 59 (3-4) : 437 ~ 451
R. A. Horn / 1991 / Topics in Matrix Analysis / Cambridge University Press
S. Yilmaz / 2008 / Some characterizations of isotropic curves in the Euclidean space / Int. J. Comput. Math. Sci 2 (2) : 107 ~ 109
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