A new version of bienergies and biangles for curves framed by extended darboux frame

Abstract

In this work, we research geometrical interpretation involved with the bienergy by ED-frame fields of the first and second types on an orientable hypersurface in E-4. We explore the geometric features of some charts by means of bienergy in E-4. We implement totally diverse discussion and reach to clarify bending functional of bienergy for ED-frame fields of the first and second types. Moreover, we find a novel and adequate association among bienergies of a curve on an orientable hypersurface in E-4.