Some Characterizations of Euler Spirals in E_1^{3}
Differential Geometry
2012-02-01 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1201.6524,
title = {Some Characterizations of Euler Spirals in E_1^{3}},
author = {Yusuf Yayli and Semra Saracoglu},
journal= {arXiv preprint arXiv:1201.6524},
year = {2012}
}
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16 pages