The purpose of this paper is to study Smarandache curves in the 4-dimensional Euclidean space E 4 , and to obtain the Frenet–Serret and Bishop invariants for the Smarandache curves in E 4 . The first, the second and the third curvatures of Smarandache curves are calculated. These values depending upon the first, the second and the third curvature of the given curve
In this study, we determine TN-Smarandache curves whose position vector is composed by Frenet frame ...
We define the e(1)(alpha) e(3)(alpha)-isotropic Smarandache curves of type-1 and type-2, the e(1)(al...
We define the e(1)(alpha) e(3)(alpha)-isotropic Smarandache curves of type-1 and type-2, the e(1)(al...
The purpose of this paper is to study Smarandache curves in the 4-dimensional Euclidean space E4 , a...
In this paper, we study Smarandache curves in the 4-dimensional Galilean space G 4 . We obtain Frene...
In this paper, we study Smarandache curves in the 4-dimensional Galilean space G 4 . We obtain Frene...
In this paper, we study Smarandache curves in the 4-dimensional Galilean space G 4 . We obtain Frene...
In this paper, we investigate special Smarandache curves according to Bishop frame in Euclidean 3-sp...
In this paper, we study some special Smarandache curves and their differential geometric properties ...
In this work, we introduce some special Smarandache curves in the Euclidean space. We study Frenet-S...
Abstract: In this work, we introduce some special Smarandache curves in the Euclidean space. We stud...
In this paper, we investigate special Smarandache curves according to Bishop frame in Euclidean 3-sp...
In this study, we determine TN-Smarandache curves whose position vector is composed by Frenet frame ...
In this study, we determine TN-Smarandache curves whose position vector is composed by Frenet frame ...
In this paper, we study Smarandache curves in the 4-dimensional Galilean space G 4
In this study, we determine TN-Smarandache curves whose position vector is composed by Frenet frame ...
We define the e(1)(alpha) e(3)(alpha)-isotropic Smarandache curves of type-1 and type-2, the e(1)(al...
We define the e(1)(alpha) e(3)(alpha)-isotropic Smarandache curves of type-1 and type-2, the e(1)(al...
The purpose of this paper is to study Smarandache curves in the 4-dimensional Euclidean space E4 , a...
In this paper, we study Smarandache curves in the 4-dimensional Galilean space G 4 . We obtain Frene...
In this paper, we study Smarandache curves in the 4-dimensional Galilean space G 4 . We obtain Frene...
In this paper, we study Smarandache curves in the 4-dimensional Galilean space G 4 . We obtain Frene...
In this paper, we investigate special Smarandache curves according to Bishop frame in Euclidean 3-sp...
In this paper, we study some special Smarandache curves and their differential geometric properties ...
In this work, we introduce some special Smarandache curves in the Euclidean space. We study Frenet-S...
Abstract: In this work, we introduce some special Smarandache curves in the Euclidean space. We stud...
In this paper, we investigate special Smarandache curves according to Bishop frame in Euclidean 3-sp...
In this study, we determine TN-Smarandache curves whose position vector is composed by Frenet frame ...
In this study, we determine TN-Smarandache curves whose position vector is composed by Frenet frame ...
In this paper, we study Smarandache curves in the 4-dimensional Galilean space G 4
In this study, we determine TN-Smarandache curves whose position vector is composed by Frenet frame ...
We define the e(1)(alpha) e(3)(alpha)-isotropic Smarandache curves of type-1 and type-2, the e(1)(al...
We define the e(1)(alpha) e(3)(alpha)-isotropic Smarandache curves of type-1 and type-2, the e(1)(al...
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