Quaternionic and Dual Quaternionic Darboux Ruled Surfaces

Autor:	Abdussamet Çalişkan
Rok vydání:	2021
Předmět:	Darboux vector distribution parameter dual spherical curve dual angle of pitch quaternion spatial quaternion ruled surface Matematik Ruled surface General Earth and Planetary Sciences Quaternion Mathematics Darboux vector General Environmental Science Dual (category theory) Mathematical physics
Zdroj:	Volume: 13, Issue: 1 106-114 Turkish Journal of Mathematics and Computer Science
ISSN:	2148-1830
DOI:	10.47000/tjmcs.858793
Popis:	In this paper, firstly the ruled surface drawn by the Darboux vector is expressed as a quaternion. Then, the spatial quaternionic definition of the striction curve is given and the integral invariants of the surface are calculated. Finally, the ruled surface which corresponds to a dual curve drawn by a dual Darboux vector is derived with the help of dual spatial quaternions and dual integral invariants of the ruled surface are obtained.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0fa89c1f2c5e45b2c72e80204e70d0d8 https://doi.org/10.47000/tjmcs.858793 Zobrazit plný text záznamu