منابع مشابه
Special Bertrand Curves in semi-Euclidean space E4^2 and their Characterizations
In [14] Matsuda and Yorozu.explained that there is no special Bertrand curves in Eⁿ and they new kind of Bertrand curves called (1,3)-type Bertrand curves Euclidean space. In this paper , by using the similar methods given by Matsuda and Yorozu [14], we obtain that bitorsion of the quaternionic curve is not equal to zero in semi-Euclidean space E4^2. Obtain (N,B2) type quaternionic Bertrand cur...
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We consider a unit speed curve α in the Euclidean ndimensional space E and denote the Frenet frame of α by {V1, . . . ,Vn}. We say that α is a cylindrical helix if its tangent vector V1 makes a constant angle with a fixed direction U . In this work we give different characterizations of such curves in terms of their curvatures. AMS Mathematics Subject Classification (2000): 53C40, 53C50
متن کاملSome Characterizations of Special Curves in the Euclidean Space E
In this work, first, we express some characterizations of helices and ccr curves in the Euclidean 4-space. Thereafter, relations among Frenet-Serret invariants of Bertrand curve of a helix are presented. Moreover, in the same space, some new characterizations of involute of a helix are presented.
متن کاملSome Characterizations of Isotropic Curves In the Euclidean Space
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 fou...
متن کاملA characterization of curves in Galilean 4-space $G_4$
In the present study, we consider a regular curve in Galilean $4$-space $mathbb{G}_{4}$ whose position vector is written as a linear combination of its Frenet vectors. We characterize such curves in terms of their curvature functions. Further, we obtain some results of rectifying, constant ratio, $T$-constant and $N$-constant curves in $mathbb{G}_{4}$.
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ژورنال
عنوان ژورنال: Collectanea mathematica
سال: 2010
ISSN: 0010-0757
DOI: 10.1007/bf03191238