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Constant Angle Ruled Surfaces with a Pointwise 1-Type Gauss Map

Author

Listed:
  • Vladimir Baltić

    (School of Electrical and Computer Engineering, Academy of Technical and Art Applied Studies, 11000 Belgrade, Serbia)

  • Kemal Eren

    (Sakarya University Technology Developing Zones Manager Company, 54050 Sakarya, Turkey)

  • Ana Savić

    (School of Electrical and Computer Engineering, Academy of Technical and Art Applied Studies, 11000 Belgrade, Serbia)

  • Soley Ersoy

    (Department of Mathematics, Faculty of Sciences, University of Sakarya, 54050 Sakarya, Turkey)

Abstract

In this study, constant angle ruled surfaces with a pointwise 1-type Gauss map, which is very useful in the classification of surfaces, are investigated in terms of the Frenet elements of the base curves of the ruled surfaces in Euclidean 3-space. In order to form a basis for our work, firstly, basic concepts related to the Gauss map of an oriented surface are given. Later, a classification is satisfied by determining the necessary conditions to be the first kind, the second kind, and the harmonic of the pointwise 1-type of the Gauss map for these surfaces. Finally, some examples of these surfaces are provided, and their graphical illustrations are displayed.

Suggested Citation

  • Vladimir Baltić & Kemal Eren & Ana Savić & Soley Ersoy, 2024. "Constant Angle Ruled Surfaces with a Pointwise 1-Type Gauss Map," Mathematics, MDPI, vol. 12(12), pages 1-16, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:12:p:1861-:d:1415087
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