2019
DOI: 10.2298/tsci181125053c
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The dual spatial quaternionic expression of ruled surfaces

Abstract: In this paper, the ruled surface which corresponds to a curve on dual unit sphere is rederived with the help of dual spatial quaternions. We extend the term of dual expression of ruled surface using dual spatial quaternionic method. The correspondences in dual space of closed ruled surfaces are quaternionically expressed. As a consequence, the integral invariants of these surfaces and the relationships between these invariants are shown.

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Cited by 12 publications
(1 citation statement)
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“…In [7], the authors have expressed the ruled surface as quaternionic and computed some properties of the ruled surface. Moreover, they have investigated the dual ruled surface using dual quaternion [8]. In light of these studies, C ¸alışkan have examined the quaternionic and dual quaternionic Darboux ruled surfaces [9].…”
Section: Introduction (Compulsory)mentioning
confidence: 99%
“…In [7], the authors have expressed the ruled surface as quaternionic and computed some properties of the ruled surface. Moreover, they have investigated the dual ruled surface using dual quaternion [8]. In light of these studies, C ¸alışkan have examined the quaternionic and dual quaternionic Darboux ruled surfaces [9].…”
Section: Introduction (Compulsory)mentioning
confidence: 99%