WASET
	%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