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On the Construction of the Surface Family with a Common Involute Geodesic

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dc.authorscopusid57213384369
dc.authorscopusid55171722000
dc.contributor.authorBilici, Mustafa
dc.contributor.authorBayram, E.
dc.date.accessioned2025-12-11T00:32:05Z
dc.date.issued2023
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Bilici] Mustafa, Department of Mathematics, Ondokuz Mayis Üniversitesi, Samsun, Turkey; [Bayram] Ergin, Department of Mathematics, Ondokuz Mayis University Faculty of Science and Arts, Samsun, Turkeyen_US
dc.description.abstractIn this study, we produce a surface family possessing an involute of a given curve as a geodesic. We find necessary and sufficient conditions for the given curve such that its involute is a geodesic on any member of the surface family. Also, we present important results for ruled and developable surfaces. Finally, we present two examples to support our results. © 2023, Prof. Dr. Mehmet Zeki SARIKAYA. All rights reserved.en_US
dc.identifier.endpage168en_US
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85203366087
dc.identifier.startpage162en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12712/37129
dc.identifier.volume11en_US
dc.language.isoenen_US
dc.publisherProf. Dr. Mehmet Zeki SARIKAYAen_US
dc.relation.ispartofKonuralp Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFrenet Frameen_US
dc.subjectGeodesic Curveen_US
dc.subjectInvolute Curveen_US
dc.subjectSurface Familyen_US
dc.titleOn the Construction of the Surface Family with a Common Involute Geodesicen_US
dc.typeArticleen_US
dspace.entity.typePublication

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