%0 Journal Article %A Süha Yılmaz and Melih Turgut %D 2008 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 19, 2008 %T Some Characterizations of Isotropic Curves In the Euclidean Space %U https://publications.waset.org/pdf/1544 %V 19 %X The curves, of which the square of the distance between the two points equal to zero, are called minimal or isotropic curves [4]. In this work, first, necessary and sufficient conditions to be a Pseudo Helix, which is a special case of such curves, are presented. Thereafter, it is proven that an isotropic curve-s position vector and pseudo curvature satisfy a vector differential equation of fourth order. Additionally, In view of solution of mentioned equation, position vector of pseudo helices is obtained. %P 489 - 491