M.Sc. Tezi Görüntüleme

Student:	Yavuz GÖKSAL
Supervisor:	Prof. Dr. Djavvat KHADJİEV
Department:	Matematik
Institution:	Graduate School of Natural and Applied Sciences
University:	Karadeniz Technical University, Turkey

Title of the Thesis:	Hyperbolic Numbers and The Applications of Hyperbolic Numbers In 2-Dimensional Hyperbolic Geometry
Level:	M.Sc.
Acceptance Date:	11/5/2011
Number of Pages:	73
Registration Number:	i2311

Summary:

In this study Hyperbolic numbers and the applications of Hyperbolic numbers to the 2-dimensional Hyperbolic geometry were applied. Some properties of Hyperbolic numbers were shown. Equality problems for groups B(H)_1,B(H)_2 and L(H) were solved. Using these results, equality problems for O(1,1,R),SO(1,1,R) and Lorentz groups were solved. Also the haks among the groups L(H),L,B(H)_1,SO(1,1,R),B(H)_2 ,O(1,1,R) were examined.