A modified Fermi-Walker derivative for inextensible flows of binormal spherical image

Abstract

Fermi-Walker derivative and biharmonic particle play an important role in skillful applications. We obtain a new characterization on binormal spherical indicatrix by using the Fermi-Walker derivative and parallelism in space. We suggest that an inextensible flow is the necessary and sufficient condition for this particle. Finally, we give some characterizations for a non-rotating frame of this binormal spherical indicatrix.

Keywords

• fermi-walker derivative-parallelism
• energy
• bienergy
• heisenberg group
• faraday tensor
• 02.40.ma
• 02.30.jr
• 02.90.+p