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