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Hyperbolic numbers and the applications of hyperbolic numbers in 2-dimensional hyperbolic geometry

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2011
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Abstract (EN)

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), O(1,1,R), [B(H)]_2 were examined.

Author

Yavuz Göksal

How to Cite

Yavuz Göksal (Master Thesis). Hyperbolic numbers and the applications of hyperbolic numbers in 2-dimensional hyperbolic geometry, 2011, Karadeniz Technical University.

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