Dual curves associated with the Bonnet ruled surfaces
| Autor: | Gülşah Aydın Şekerci, Muradı˙ye Çı˙mdı˙ker Aslan |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
isothermic surface
Pure mathematics Class (set theory) Physics and Astronomy (miscellaneous) 010308 nuclear & particles physics Dual space Bonnet ruled surface dual geodesic curvature Space (mathematics) 01 natural sciences Dual (category theory) A-net Principal curvature 0103 physical sciences Euclidean geometry Isometry Mathematics::Differential Geometry 010303 astronomy & astrophysics Mathematics |
| Popis: | © 2020 World Scientific Publishing Company.An interest problem arises to determine the surfaces in the Euclidean three space, which admit at least one nontrivial isometry that preserves the principal curvatures. This leads to a class of surface known as a Bonnet surface. The intention of this study is to examine a Bonnet ruled surface in dual space and to calculate the dual geodesic trihedron of the dual curve associated with the Bonnet ruled surface and derivative equations of this trihedron by the dual geodesic curvature. Also, we find that the dual curvature, the dual torsion for the dual curves associated with the Bonnet ruled surface which are different from any dual curves. Moreover, some examples are obtained about the Bonnet ruled surface. |
| Databáze: | OpenAIRE |
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