Some Characterizations of Euler Spirals in E_1^{3}

Details Some Characterizations of Euler Spirals in E_1^{3} Some Characterizations of Euler Spirals in E_1^{3}

2012-01-31

arxiv.org/abs/1201.6524v1

Mathematics

Differential Geometry

16 pages

Scientific paper

In this study, some characterizations of Euler spirals in E_1^{3} have been presented by using their main property that their curvatures are linear. Moreover, discussing some properties of Bertrand curves and helices, the relationship between these special curves in E_1^{3} have been investigated with different theorems and examples. The approach we used in this paper is useful in understanding the role of Euler spirals in E_1^{3} in differential geometry.

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