TIME EVOLUTION EQUATIONS FOR SURFACES GENERATED VIA BINORMAL SPHERICAL IMAGE IN TERMS OF INEXTENSIBLE FLOWS IN

Abstract

In this work, we study time-evolution equations that the intrinsic quantities of curves to construct binormal spherical curves as surfaces in terms of inextensible flows in E-3 Using the Frenet frame of the given curve, we present partial differential equations. We give necessary and sufficient condition for a binormal spherical curves as surfaces to be a Bonnet surface. Finally, we draw some pictures of our main results.