Abstract
In this study, a dual minimal curves of a dual unit sphere, and the minimal ruled surfaces corresponding it are defined, and represented that dual unit tangent, binormal and surface normal vectors, related to these, are dual isotropic lines. E.Study theorem is also given, for dual minimal curves, belonging to minimal curves and we give general solution of differential equation of this curves.
Highlights
On one parameter motion H / H ′ of H with respect to H ′
The point X on K ′ draws dual curve (X), given (1), on one parameter motion K / K ′ of Krwith respect to A changing of line X
ISOTROPIC OR DUAL MINIMAL CURVES (SURFACES) some definitions and properties(characteristics) in the reel spaces which are related with our topic [5,6,7,8,9], have generalized to the dual spaces
Summary
3.3 If the dual binormal vector which is isotropic straight line of a dual minimal curve, is on the dual osculating plane which is a isotropic plane, this plane has only one isotropic straight line which passes through giving smooth point, and this is determined by the tangent at this smooth point of dual minimal curve. That, this dual binormal vector is coincide with this tangent.
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