In this paper, we study helices and the Bertrand curves. We obtain some of the classification results of these curves with respect to the modified orthogonal frame in Euclidean 3-spaces.2000 Mathematics Subject Classification. 53A04, 53A35.
In this paper, we investigate Mannheim pairs, Frenet-Mannheim curves and Weakened Mannheim curves with respect to the modified orthogonal frame in Euclidean 3-space(E 3 ). We obtain some characterizations of these curves.2000 Mathematics Subject Classification. 53A04, 53A35.
In this paper, we study translation surfaces in three dimensional affine space. We characterize the finite type non-degenerate translation surfaces with respect to the first affine and the second affine fundamental forms.
Multiplicative analysis, whic is an alternative to the classical analysis defined by the additive arithmetic, and built on the multiplicative arithmetic, offers a new perspective to the mathematical problems encountered in science and engineering. In this paper, using matrix methods, we obtained rotation pole in multiplicative one-parameter motion on the plane kinematics in multiplicative motions and multiplacative pole orbits, multiplacative accelerations and multiplacative combinations of accelerations, multiplicative acceleratıon poles of the motıons. Moreover, some new theorems are given.
In this paper, parallels of latitude and meridians of longitude in ℂ 3 are identified via the special complex unitary matrices ℂ (2). It is also obtained that the third homology group of complex 2-sphere ℂ 2 is equal to zero.
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