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… 

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References

SHOWING 1-3 OF 3 REFERENCES

Differential Geometry

1 Co-ordinate independent calculus. 2 1.

Some Characterizations of The spacelike, The Timelike and The Null Curves on The Pseudohyperbolic Space H2 0 in E 3 1

  • Kragujevac J. Math.,
  • 2000

Solutions of The Differential Geometry Problems

  • Ankara University, Faculty of Science,
  • 1995