Advances in Applied Clifford Algebras

, Volume 26, Issue 1, pp 183–197 | Cite as

The Fermi-Walker Derivative on the Spherical Indicatrix of a Space Curve



In this paper Fermi-Walker derivative and Fermi-Walker parallelism and non-rotating frame concepts are given along the spherical indicatrix of a curve in E 3. First, we consider a curve in Euclid space and investigate the Fermi-Walker derivative along the tangent. The concepts which Fermi-Walker derivative are analyzed along its tangent. Then, the Fermi-Walker derivative and its theorems are analyzed along the principal normal indicatrix and the binormal indicatrix of any curve in E 3.


Fermi-Walker derivative Fermi-Walker parallelism Non-rotating frame Tangent indicatrix Principal normal indicatrix Binormal indicatrix Helix 

Mathematics Subject Classification

Primary 53B20 53B21 53B50 Secondary 53Z05 53Z99 


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Copyright information

© Springer Basel 2015

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Arts and SciencesSinop UniversitySinopTurkey
  2. 2.Department of Mathematics, Faculty of ScienceAnkara UniversityAnkaraTurkey

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