Honam Mathematical Journal (호남수학학술지)

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SOME INTEGRAL CURVES ASSOCIATED WITH A TIMELIKE FRENET CURVE IN MINKOWSKI 3-SPACE

  • Duldul, Bahar Uyar (Education Faculty, Department of Mathematics and Science Education, Yildiz Technical University)
  • Received : 2017.08.09
  • Accepted : 2017.11.24
  • Published : 2017.12.25
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Abstract

In this paper, we give some relations related with a spacelike principal-direction curve and a spacelike binormal-direction curve of a timelike Frenet curve. The Darboux-direction curve and the Darboux-rectifying curve of a timelike Frenet curve in Minkowski 3-space $E^3_1$ are introduced and some characterizations related with these associated curves are given. Later we define the spacelike V-direction curve which is associated with a timelike curve lying on a timelike oriented surface in $E^3_1$ and present some results together with the relationships between the curvatures of this associated curve.

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References

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