Involutive sweeping surfaces with Frenet frame in Euclidean 3-space
Heliyon, ISSN: 2405-8440, Vol: 9, Issue: 8, Page: e18822
2023
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Research from Ondokuz Mayis University Yields New Data on Science and Technology (Involutive sweeping surfaces with Frenet frame in Euclidean 3-space)
2023 AUG 23 (NewsRx) -- By a News Reporter-Staff News Editor at NewsRx Science Daily -- Researchers detail new data in science and technology. According
Article Description
In this paper we first define the involutive sweeping surfaces as a new surface form. We then investigate singularity, Gaussian and mean curvatures of these surfaces. By calculating the Gaussian and mean curvatures of the involutive sweeping surfaces, we find necessary conditions of being flat or minimal of these surfaces. Also, we analyze the necessary and sufficient conditions for parameter curves on the surface to be asymptotic, geodesic. Then we investigate the special case that the parameter curves are lines of curvature on the surface. Finally, we illustrate our method of calculation by presenting an example.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S2405844023060309; http://dx.doi.org/10.1016/j.heliyon.2023.e18822; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85166932845&origin=inward; http://www.ncbi.nlm.nih.gov/pubmed/37600397; https://linkinghub.elsevier.com/retrieve/pii/S2405844023060309; https://dx.doi.org/10.1016/j.heliyon.2023.e18822
Elsevier BV
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