Examination of motion in Minkowsky space

This study is consist of three chapters. In the first chapter; the fundemental definitions and theorems in Minkowskyi space, are given. In the second chapter; Sphrerical motions are examined in the 3-dimensional Minkowski space R31. The coordinate transformations in spherical motion, the characteristic vectors of rotation matrix, the Cayley formula, the Rodrigues equation and Euler parameters are investigated. Inadditon, the coordinate transformations and the screw axis are given for spatial motionsin the 3-dimensional Minkowski space R31. The original parth of study is given in the thirth, fourth and fifth chapters. Frenet-Serret motion is investigated in the Minkowski space. Time-like and space-like axis of rotation the Darboux ?s motion are examined. Then, the so-called Minkowski Space inverse Darboux?s motion is discussed in Mannheim?s motion. Finally, these motions, which are generally viewed Schoenfliesmotion.