ISOTROPIC SMARANDACHE CURVES IN THE COMPLEX 4-SPACE

Abstract

We define the e(1)(alpha) e(3)(alpha)-isotropic Smarandache curves of type-1 and type-2, the e(1)(alpha)e(2)(alpha)e(3)(alpha)-isotropic Smarandache curve, and the e(1)(alpha)e(2)(alpha)e(4)(alpha)-isotropic Smarandache curves of type-1 and type-2. Then we examine these kinds of isotropic Smarandache curve according to Cartan frame in the complex 4-space C-4 and give some differential geometric properties of these Samarandache curves.