Loxodromes on helicoidal surfaces in Minkowski 3-space
2015
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Advisor: Yrd. Doç. Dr. Murat Babaarslan
Abstract (EN)
On the first part of this paper, the general definition of the loxodromes was given and the practice fields of the loxodromes were mentioned. Also the literature abstract of the studies carried on this field was given. On the second part, some fundamental definitions and formulas were given in Minkowski 3-space. On the third, fourth and fifth parts, differential equations of the space-like loxodromes on the helicoidal surfaces which have space-like or time-like meridians in Minkowski 3-space were found. In addition, some examples were shown and their graphics were drawn by Mathematica program. On the sixth and seventh parts of the paper, differential equations of the time-like loxodromes on the helicoidal surfaces which have space-like or time-like meridians in Minkowski 3-space were found. Also some examples were given and their graphics were drawn by Mathematica program. Key words: Loxodrome, Helicoidal surface, Minkowski 3-space.
Author
Mustafa Kayacık
How to Cite
Mustafa Kayacık (Master Thesis). Loxodromes on helicoidal surfaces in Minkowski 3-space, 2015, Yozgat Bozok University.
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