Spinor Frenet Equations in Three Dimensional Lie Groups

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Zeki Okuyucu O. Z., Gökmen Yıldız Ö. G., Tosun M.

Advances in Applied Clifford Algebras, vol.26, no.4, pp.1341-1348, 2016 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 26 Issue: 4
• Publication Date: 2016
• Doi Number: 10.1007/s00006-016-0651-4
• Journal Name: Advances in Applied Clifford Algebras
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1341-1348
• Keywords: Frenet equations, Lie groups, Spinor
• Open Archive Collection: AVESIS Open Access Collection
• Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

In this paper, we study spinor Frenet equations in three dimensional Lie groups with a bi-invariant metric. Also, we obtain spinor Frenet equations for some special cases of three dimensional Lie groups.