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arXiv:1201.6524 [math.DG]AbstractReferencesReviewsResources

Some Characterizations of Euler Spirals in E_1^{3}

Yusuf Yayli, Semra Saracoglu

Published 2012-01-31Version 1

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.

Comments: 16 pages
Categories: math.DG
Subjects: 53A04, 53A05, 53B30
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