Involutes of a curve and consideration in various spaces
2018
0 views
0 downloads
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.
Keywords
License
Tüm Hakları Saklıdır
This work is shared under the specified license terms.
More theses from Fırat University
- Using social media as an integrated marketing communication tool(2018)
- Foundation of Dutch East İndia Company and her rising in İndonesia in the 17th century(2013)
- Examination of stress state between Doğanyol (Malatya) and Çelikhan (Adıyaman) on the east Anatolian fault zone(2020)
- Color usage at Turkish Divan of Fuzûlî(2013)
- Yavuzeli (Gaziantep) surrounding volcanic outcropping of rocks petrographic and geochemical features(2014)
- The effects of thermal aging in Cu-Al-Ni and Cu-Al-Be shape memory alloys(2009)