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ISOTROPIC SMARANDACHE CURVES IN THE COMPLEX 4-SPACE
( Mahmut Ergut ),( Suha Yilmaz ),( Yasin Unluturk ) 호남수학회 2018 호남수학학술지 Vol.40 No.1
We define the e1<sup>a</sup> e3<sup>a</sup> -isotropic Smarandache curves of type-1 and type-2, the e1<sup>a</sup> e2<sup>a</sup> e3<sup>a</sup> -isotropic Smarandache curve, and e1<sup>a</sup> e2<sup>a</sup> e4<sup>a</sup>-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<sup>4</sup> and give some differential geometric properties of these Samarandache curves.
ISOTROPIC SMARANDACHE CURVES IN THE COMPLEX 4-SPACE
Ergut, Mahmut,Yilmaz, Suha,Unluturk, Yasin The Honam Mathematical Society 2018 호남수학학술지 Vol.40 No.1
We define the $e^{\alpha}_1e^{\alpha}_3$-isotropic Smarandache curves of type-1 and type-2, the $e^{\alpha}_1e^{\alpha}_2e^{\alpha}_3$-isotropic Smarandache curve, and the $e^{\alpha}_1e^{\alpha}_2e^{\alpha}_4$-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 $\mathbb{C}^4$ and give some differential geometric properties of these Samarandache curves.