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- W4225117466 abstract "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." @default.
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- W4225117466 date "2022-04-30" @default.
- W4225117466 modified "2023-09-26" @default.
- W4225117466 title "Family of Surfaces" @default.
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- W4225117466 doi "https://doi.org/10.36890/iejg.932757" @default.
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