A new approach to the bienergy and biangle of a moving particle lying in a surface of lorentzian space

Abstract

In this research, we study bienergy and biangles of moving particles lying on the surface of Lorentzian 3-space by using their energy and angle values. We present the geometrical characterization of bienergy of the particle in Darboux vector fields depending on surface. We also give the relationship between bienergy of the surface curve and bienergy of the elastic surface curve. We conclude the paper by providing bienergy-curve graphics for different cases. © 2020 Walter de Gruyter GmbH, Berlin/Boston.