A new approximation for bienergy and biangle of particles with extended Darboux frame in Minkowski spacetime

Abstract

This work is motivated by recent researches in particles and their bienergy in different types of geometric structures and applied physical spacetime phases. In this paper, we define a new approach of bienergy and biangle with Sasaki metric in Minkowski spacetime. Moreover, we use the ED-frame method for bienergy and biangle of first and second kind fields. We study the bienergy and biangle for the extended Darboux frame (ED-frame) fields of first and second kind on some hypersurfaces in Minkowski spacetime. Also, we obtain main results as a new relationship for biangle and bienergy of the particle on the hypersurface in Minkowski spacetime. We get new geometric properties of some graphics with the bienergy and biangle. Finally, we determine a new relationship for biangle and bienergy of the particle on the hypersurface in Minkowski spacetime.