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Contribution to pseudo spherical kinematics of pseudo spherical evolutes
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In this work, we give some relations about involutes and evolutes of a timelike curve in Lorentz 3-space. Also we derive a characterization of pseudo spherical evolutes corresponding to the trajectory of a point in pseudo spherical kinematics. Then, we obtain a transformation matrix from the natural trihedron of a space curve to the geodesic trihedron of its spherical evolutes in Lorentz 3-space. Finally, we give an example to illustrate our results.
Title: Contribution to pseudo spherical kinematics of pseudo spherical evolutes
Description:
In this work, we give some relations about involutes and evolutes of a timelike curve in Lorentz 3-space.
Also we derive a characterization of pseudo spherical evolutes corresponding to the trajectory of a point in pseudo spherical kinematics.
Then, we obtain a transformation matrix from the natural trihedron of a space curve to the geodesic trihedron of its spherical evolutes in Lorentz 3-space.
Finally, we give an example to illustrate our results.
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