This paper defines quaternionic sabban frames for curves on spheres, indicating novel algebraic properties.
In this paper, we first reconsider Sabban frame of curves on $2-$sphere S² in R³ with the help of the properties of quaternion algebra and then, we define two different types of quaternionic Sabban frame of the curves on $3$-sphere S³ in R⁴. Also, we support the theory in the paper with some examples.
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Ferdağ Kahraman Aksoyak (2025) studied this question.
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