Generalized normal ruled surface of a curve in the Euclidean 3-space

In this study, we define the generalized normal ruled surface of a curve in the Euclidean 3-space E3. We study the geometry of such surfaces by calculating the Gaussian and mean curvatures to determine when the surface is flat or minimal (equivalently, helicoid). We examine the conditions for the cu...

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Bibliographic Details
Main Authors: Kaya Onur, Önder Mehmet
Format: Article
Language:English
Published: Sciendo 2021-08-01
Series:Acta Universitatis Sapientiae: Mathematica
Subjects:
Online Access:https://doi.org/10.2478/ausm-2021-0013