Calculation of the differential equations and harmonicity of the involute curve according to unit Darboux vector with a new method

Abstract

In this study we first write the characterizations of involute of a curve by means of the unit Darboux vector of the involute curve. Then we make use of the Frenet formulas [1] to explain the characterizations of involute of a curve by means of Frenet apparatus of the main curve. Finally we examined the helix as an example.

Keywords

• unit Darboux vector,Laplace operator,biharmonic

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