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Curves whose pseudo spherical indicatrices are elastic

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dc.creator YÜCESAN, Ahmet
dc.creator Ozkan Tukel, Gozde
dc.creator Tunahan Turhan, Tunahan Turhan
dc.date 2017-12-31T21:00:00Z
dc.date.accessioned 2020-10-06T12:03:35Z
dc.date.available 2020-10-06T12:03:35Z
dc.identifier fdcd3677-813e-423c-9aa5-fe76f0583845
dc.identifier 10.3906/mat-1801-44
dc.identifier https://avesis.sdu.edu.tr/publication/details/fdcd3677-813e-423c-9aa5-fe76f0583845/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/77115
dc.description The pseudo spherical indicatrix of a curve in Minkowski 3-space emerges as three types: the pseudo spherical tangent indicatrix, principal normal indicatrix, and binormal indicatrix of the curve. The pseudo spherical tangent, principal normal, and binormal indicatrix of a regular curve may be positioned on De Sitter 2-space (pseudo sphere), pseudo hyperbolic 2-space, and two-dimensional null cone in terms of causal character of the curve. In this paper, we separately derive Euler-Lagrange equations of all pseudo spherical indicatrix elastic curves in terms of the causal character of a curve in Minkowski 3-space. Then we give some results of solutions of these equations.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title Curves whose pseudo spherical indicatrices are elastic
dc.type info:eu-repo/semantics/article


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