Tzitzaica sherical indicatrix curves in 3-dimensional euclidean and minkowski spaces
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Abstract (EN)
This thesis consists of three sections. In the first chapter, main definitions and theorems are given in Euclidean 3-space and Minkowski 3-space. The second and third chapters are the main parts of thist hesis. In the second chapter, the condition of a curve to be a Tzitzeica curve are given and are obtained conditions to be a Tzitzeica curve of spherical indicatrix curves of the curve in Euclidean 3-space. Inaddition, examples are given in Euclidean 3-space. In the third chapter, conditions to be Tzitzeica curve of spherical indicatrix curves of a curve are given according to casual characters of Frenet frame elements of the curves in Minkowski 3-space.
Author
Şadiye Buket Kaya
Institution
How to Cite
Şadiye Buket Kaya (Master Thesis). Tzitzaica sherical indicatrix curves in 3-dimensional euclidean and minkowski spaces, 2021, Manisa Celal Bayar University.
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