Master'sOpen Access

Involutes of a curve and consideration in various spaces

2018
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Advisor: Prof. Dr. Münevver Yıldırım Yılmaz

Abstract (EN)

In this study, the characterizations of a given curve is investigated in various spaces by dealing with concept of involute. In particularly, Serret-Frenet formulas are given for quaternionic curve in Quaternionic space by defining quaternionic curve in Q₃ and Q₄.The characterizations for quaternionic involute curves are given and proved in Q₃ and Q₄ spaces with these formulas. Keywords: Frenet curve, Frenet frame, involute curve, Quaternionic curve, Quaternionic frame.

Author

Dr. Esra Erdem

How to Cite

Esra Erdem (Master Thesis). Involutes of a curve and consideration in various spaces, 2018, Fırat University.

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