In this paper, we define the necessary and sufficient conditions for a parametric surface on which both the involute and evolute of any given curve lie to be geodesic, asymptotic and curvature line. Then, the first and second fundamental forms of these surfaces are calculated. By using the Gaussian and mean curvatures, the developability and minimality assumptions are drawn, as well.
Moreover we extended the idea to the ruled surfaces. Finally, we provide a set of examples to illustrate the corresponding surfaces.
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Makale inceleme sürecinde emeği geçenlere ve hakemlik yapacak değerli hocalarıma şimdiden teşekkür ederim.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Article |
Authors | |
Project Number | yok |
Early Pub Date | April 30, 2022 |
Publication Date | April 30, 2022 |
Acceptance Date | November 6, 2021 |
Published in Issue | Year 2022 Volume: 15 Issue: 1 |