On special type-2 Bishop motion and Bishop Darboux rotation axes of the space curve
Tóm tắt
We have given a generalization of one parameter special Frenet motion to type-2 Bishop motion in Euclidean 3-space
$$E^3$$
. Type-2 Bishop motion have been defined for space curve
$$\beta $$
and then type-2 Bishop Darboux vector of this motion has been calculated for fixed and moving spaces in
$$E^3$$
. Also, we have showed that type-2 Bishop rotation for space curves is decomposed into two simultaneous rotations. One of the axes of this simultaneous rotations is a parallel of the binormal vector of the curve, the other is the direction of the type-2 Bishop Darboux vector of the curve.
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