Abstract
In this work, curves of constant breadth are defined and some characterizations of closed dual curves of constant breadth according to Bishop frame are presented in dual Euclidean space. Also, it has been obtained that a third order vectorial differential equation in dual Euclidean 3-space.
Highlights
The curves of constant breadth were introduced by :[1]. [2] had obtained a problem to determine whether there exist space curve of constant breadth or not, and he defined breadth for space curves on a surface of constant breadth
In [6] expressed some characterizations of timelike curves of constant breadth in Minkowski 3-space and partially null curves of constant breadth in semi-Riemannian space. In recently works this topic were studied and further characterizations related to different geometries were obtained, see [7], [8], [18], characterizations of Curves of Constant Breadth in Galilean 3-Space G3[10]
We investigate in a special case, let us suppose
Summary
The curves of constant breadth were introduced by :[1]. [2] had obtained a problem to determine whether there exist space curve of constant breadth or not, and he defined breadth for space curves on a surface of constant breadth. [2] had obtained a problem to determine whether there exist space curve of constant breadth or not, and he defined breadth for space curves on a surface of constant breadth. In recently work [4], these properties are studied in the Euclidean 3-space E3. In [6] expressed some characterizations of timelike curves of constant breadth in Minkowski 3-space and partially null curves of constant breadth in semi-Riemannian space. In recently works this topic were studied and further characterizations related to different geometries were obtained, see [7], [8], [18], characterizations of Curves of Constant Breadth in Galilean 3-Space G3[10]
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