M.Sc. Tezi Görüntüleme

Student:	Yüksel KELEŞ
Supervisor:	Yrd. Doç. Dr. Yasemin SAĞIROĞLU
Department:	Matematik
Institution:	Graduate School of Natural and Applied Sciences
University:	Karadeniz Technical University Turkey

Title of the Thesis:	Galilean and Pseudo-Galilean Space Curves
Level:	M.Sc.
Acceptance Date:	13/6/2014
Number of Pages:	72
Registration Number:	i2796

Summary:

In this study, research on the article related to the theory of curves in three dimensional Galilean and pseudo-Galilean spaces has been compiled.

Firstly, the Galilean and pseudo-Galilean space are introduced, general characteristics of the curves in this spaces have been given. Then it is examined Bertrand curves, Frenet Bertrand curves and Mannheim curves in the Galilean space. Later, in the pseudo-Galilean space, Mannheim curves, AW(k)-type curves, nonelastic reguler curves, spherical curves and helices are examined, and some theorems about these curves are given. It is introduced equiform differantial geometry of curves in the pseudo-Galilean space and some basic theorems about curves in this geometry are explained. In addition, the general solution of the differantial equations of Frenet system for curves in is given.

Key Words: Curves, Galilean Space, Pseudo-Galilean Space