Abstract
In this study, we research bienergy and biangles of moving particles lying in the surface of Euclidean space by using their energy and angle values. We present a geometrical understanding of a bienergy of a particle in Darboux vector fields depending on surface. We also give a relation between bienergy of the curve corresponding to a moving particle in space and bienergy of the elastica assuming the curve that has the elastic feature. We conclude our results by providing an bienergy-curve graphics for different cases.
Publisher
Sociedade Paranaense de Matematica