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On the dual pseudo-spherical elastic curves

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dc.creator Tükel, Gözde ÖZKAN
dc.creator YÜCESAN, Ahmet
dc.date 2024-01-01T00:00:00Z
dc.date.accessioned 2025-02-25T10:23:56Z
dc.date.available 2025-02-25T10:23:56Z
dc.identifier 6d95f26e-b22a-42fd-9944-e2d599160050
dc.identifier 10.55730/1300-0098.3529
dc.identifier https://avesis.sdu.edu.tr/publication/details/6d95f26e-b22a-42fd-9944-e2d599160050/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/100089
dc.description We investigate a dual bending energy functional that operates on the dual pseudo-sphere in dual Lorentzian space. For a nonnull dual curve on the dual pseudo-sphere to be considered elastic, it must satisfy the conditions of a dual Euler-Lagrange equation. To solve this problem, we use Jacobi elliptic functions to approach the real part and the integral factors method to solve the dual part. Using E. Study mapping, we examine situations where every timelike or spacelike dual elastic curve on the dual pseudo-sphere matches an elastic strip with a suitable base curve in Minkowski 3-space.
dc.language eng
dc.rights info:eu-repo/semantics/openAccess
dc.title On the dual pseudo-spherical elastic curves
dc.type info:eu-repo/semantics/article


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