Generalized normal ruled surface of a curve in the Euclidean 3-space
نویسندگان
چکیده
Abstract In this study, we define the generalized normal ruled surface of a curve in Euclidean 3-space E 3 . We study geometry such surfaces by calculating Gaussian and mean curvatures to determine when is flat or minimal (equivalently, helicoid). examine conditions for curves lying on be asymptotic curves, geodesics lines curvature. Finally, obtain Frenet vectors get some relations with helices slant give examples obtained results.
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ژورنال
عنوان ژورنال: Acta Universitatis Sapientiae: Mathematica
سال: 2021
ISSN: ['1844-6094', '2066-7752']
DOI: https://doi.org/10.2478/ausm-2021-0013