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Some integral curves associated with a timelike Frenet curve in Minkowski 3-space
Bahar Uyar Duldul 호남수학회 2017 호남수학학술지 Vol.39 No.4
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 $E_1^3$ are introduced and some characterizations related with these associated curves are given. Later we define the spacelike ${\bf V}$-direction curve which is associated with a timelike curve lying on a timelike oriented surface in $E_1^3$ and present some results together with the relationships between the curvatures of this associated curve.
SOME INTEGRAL CURVES ASSOCIATED WITH A TIMELIKE FRENET CURVE IN MINKOWSKI 3-SPACE
Duldul, Bahar Uyar The Honam Mathematical Society 2017 호남수학학술지 Vol.39 No.4
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.