Smarandache-Based Ruled Surfaces with the Darboux Vector According to Frenet Frame in $E^3$

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چکیده

The paper introduces a new kind of special ruled surface. base each surface is taken to be one the Smarandache curves given curve according Frenet frame, and generator (ruling) chosen corresponding unit Darboux vector. characteristics these newly defined surfaces are investigated by means first second fundamental forms their curvatures. An example provided considering both helix Viviani’s curve.

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ژورنال

عنوان ژورنال: Journal of new theory

سال: 2022

ISSN: ['2149-1402']

DOI: https://doi.org/10.53570/jnt.1106331