The Characterizations of Parallel q-Equidistant Ruled Surfaces
Autor: | Yanlin Li, Süleyman Şenyurt, Ahmet Özduran, Davut Canlı |
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Jazyk: | angličtina |
Rok vydání: | 2022 |
Předmět: | |
Zdroj: | Symmetry, Vol 14, Iss 9, p 1879 (2022) |
Druh dokumentu: | article |
ISSN: | 14091879 2073-8994 |
DOI: | 10.3390/sym14091879 |
Popis: | In this paper, parallel q-equidistant ruled surfaces are defined such that the binormal vectors of given two differentiable curves are parallel along the striction curves of their corresponding binormal ruled surfaces, and the distance between the asymptotic planes is constant at proper points, which is related to symmetry. The characterizations and some other useful relations are drawn for these surfaces as well. If the surfaces are considered to be closed, then the integral invariants such as the pitch, the angle of the pitch, and the drall of them are given. Finally, some examples are presented to indicate that the distance between the proper points on the corresponding asymptotic planes is always constant. |
Databáze: | Directory of Open Access Journals |
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