1 Ocak 2019 Dergi makalesi Açık Erişim

Dagdeviren, Ali; Yuce, Salim

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    <subfield code="a">After a brief review of the different types of quaternions, we develop a new perspective for dual quaternions with dividing two parts. Due to this new perspective, we will define the isotropic and non-isotropic dual quaternions. Then we will also give the basic algebraic concepts about the dual quaternions. Moreover, we define isotropic dual quaternionic curves and non-isotropic dual quaternionic curves. Via these definitions we find Serret-Frenet formulae for isotropic dual quaternionic curves. Finally, we will use these results to derive the Serret-Frenet formulae for non-isotropic dual quaternionic curves.</subfield>
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    <subfield code="a">Dual Quaternions and Dual Quaternionic Curves</subfield>
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