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Sweeping Surfaces Generated by Involutes of a Spacelike Curve With a Timelike Binormal in Minkowski 3-Space

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dc.authorscopusid37011125100
dc.authorscopusid55158958400
dc.authorscopusid57213384369
dc.authorscopusid57222866206
dc.authorwosidBilici, Mustafa/Aaa-7092-2020
dc.authorwosidSenyurt, Süleyman/Gry-4465-2022
dc.authorwosidCanli, Davut/Lbh-5327-2024
dc.contributor.authorKalkan, Ozgur Boyacioglu
dc.contributor.authorSenyurt, Suleyman
dc.contributor.authorBilici, Mustafa
dc.contributor.authorCanli, Davut
dc.contributor.authorIDBilici, Mustafa/0000-0002-3502-5027
dc.date.accessioned2025-12-11T00:53:10Z
dc.date.issued2025
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Kalkan, Ozgur Boyacioglu] Afyon Kocatepe Univ, Afyon Vocat Sch, Afyonkarahisar 03200, Turkiye; [Senyurt, Suleyman; Canli, Davut] Ordu Univ, Dept Math, TR-52200 Ordu, Turkiye; [Bilici, Mustafa] Ondokuz Mayis Univ, Dept Math, TR-55270 Samsun, Turkiyeen_US
dc.descriptionBilici, Mustafa/0000-0002-3502-5027;en_US
dc.description.abstractIn this paper, we studied the geometry of sweeping surfaces generated by the involutes of spacelike curves with a timelike binormal in Minkowski 3-space E31. First, we investigated the singularity concept, and the mean and Gaussian curvatures of these surfaces. Then, we provided the requirements for the surface to be developable (flat) and minimal. We also determined the sufficient and necessary conditions for the parameter curves of these surfaces to be geodesic and asymptotic. Moreover, we analyzed these surfaces when the parameter curves are lines of curvature on the surface. Finally, the examples of these surfaces were given and their corresponding figures were drawn.en_US
dc.description.woscitationindexScience Citation Index Expanded
dc.identifier.doi10.3934/math.2025047
dc.identifier.endpage1007en_US
dc.identifier.issn2473-6988
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85217270178
dc.identifier.scopusqualityQ1
dc.identifier.startpage988en_US
dc.identifier.urihttps://doi.org/10.3934/math.2025047
dc.identifier.urihttps://hdl.handle.net/20.500.12712/39976
dc.identifier.volume10en_US
dc.identifier.wosWOS:001400962300006
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherAmerican Institute Mathematical Sciences-AIMSen_US
dc.relation.ispartofAims Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSweeping Surfaceen_US
dc.subjectInvolute Curveen_US
dc.subjectMinkowski Spaceen_US
dc.subjectDevelopable and Minimal Surfaceen_US
dc.subjectGeodesic Curveen_US
dc.subjectAsymptotic Curveen_US
dc.titleSweeping Surfaces Generated by Involutes of a Spacelike Curve With a Timelike Binormal in Minkowski 3-Spaceen_US
dc.typeArticleen_US
dspace.entity.typePublication

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