# On the Involute and Evolute Curves of the Spacelike Curve with a Spacelike Binormal in Minkowski 3−Space

@article{Bukcu2007OnTI, title={On the Involute and Evolute Curves of the Spacelike Curve with a Spacelike Binormal in Minkowski 3−Space}, author={Bahaddin Bukcu and Gazi Osman and Murat Kemal Karacan and K. Maraş and Sutcu Imam and Avsar Kampus}, journal={The International Journal of Contemporary Mathematical Sciences}, year={2007}, volume={2}, pages={221-232} }

In this study, we have generalized the involute and evolute curves of the spacelike curve α with a spacelike binormal in Minkowski 3- Space. Firstly, we have shown that, the length between the spacelike curve α and the timelike curve β is constant. Furthermore, the Frenet frame of the involute curve β has been found as depend on curvatures of the curve α .W e have determined the curve α is planar in which conditions. Secondly, we have found transformation matrix between the evolute curve β and…

## 32 Citations

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In this study, we have generalized the involute and evolute curves of the spacelike curve α with a spacelike principal normal in Minkowski 3-Space. Firstly, we have shown that, the length between the…

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In this paper, we introduce the spherical indicatrices of involutes of a given timelike curve. Then we give some important relationships between arc lengths and geodesic curvatures of the base curve…

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