Contribution to pseudo spherical kinematics of pseudo spherical evolutes

Tunahan TURHAN

doi:10.26637/MJM0802/0051

Abstract

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.

Keywords:

Lorentz 3, pseudo spherical evolutes, pseudo spherical kinematics

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Tunahan TURHAN Isparta University of Applied Sciences, 32200, Isparta, Turkey.

Pages: 622-628
Date Published: 01-04-2020
Vol. 8 No. 02 (2020): Malaya Journal of Matematik (MJM)

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