On New Energy and Pseudo Angle of Vector Field with Elastica Energy in L-6

Abstract

In this work, we firstly compute both the energy and pseudo angle of Frenet vector fields in 6-Lorentz spacetime. Based on these computations and interpretations, we also investigate correlation between the energy of vector fields and highly significant historical subject known as bending energy of elastica functional. Finally, we obtain energy and angle of Frenet vector fields in 6-Lorentz space-time.