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Involutive Sweeping Surfaces With Frenet Frame in Euclidean 3-Space

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dc.authorscopusid58306466900
dc.authorscopusid57213384369
dc.authorwosidKöseoğlu, Gökhan/Jac-3399-2023
dc.authorwosidBilici, Mustafa/Aaa-7092-2020
dc.contributor.authorKoseoglu, Gokhan
dc.contributor.authorBilici, Mustafa
dc.contributor.authorIDBilici, Mustafa/0000-0002-3502-5027
dc.contributor.authorIDKöseoğlu, Gökhan/0009-0002-9484-9963
dc.date.accessioned2025-12-11T01:19:07Z
dc.date.issued2023
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Koseoglu, Gokhan] Ondokuz Mayis Univ, Grad Sch Sci, Samsun, Turkiye; [Bilici, Mustafa] Ondokuz Mayis Univ, Educ Fac, Dept Math, Samsun, Turkiyeen_US
dc.descriptionBilici, Mustafa/0000-0002-3502-5027; Köseoğlu, Gökhan/0009-0002-9484-9963en_US
dc.description.abstractIn this paper we first define the involutive sweeping surfaces as a new surface form. We then investigate singularity, Gaussian and mean curvatures of these surfaces. By calculating the Gaussian and mean curvatures of the involutive sweeping surfaces, we find necessary conditions of being flat or minimal of these surfaces. Also, we analyze the necessary and sufficient conditions for parameter curves on the surface to be asymptotic, geodesic. Then we investigate the special case that the parameter curves are lines of curvature on the surface. Finally, we illustrate our method of calculation by presenting an example.en_US
dc.description.sponsorshipTUBITAK (The Scientific and Technological Research Council of Turkey)en_US
dc.description.sponsorshipAcknowledgements The authors are grateful to the editor and reviewers for their valuable suggestions and comments which contributed to improving this paper. The first author would like to thank TUBITAK (The Scientific and Technological Research Council of Turkey) for their financial support during his doctorate study.en_US
dc.description.woscitationindexScience Citation Index Expanded
dc.identifier.doi10.1016/j.heliyon.2023.e18822
dc.identifier.issn2405-8440
dc.identifier.issue8en_US
dc.identifier.pmid37600397
dc.identifier.scopus2-s2.0-85166932845
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.heliyon.2023.e18822
dc.identifier.urihttps://hdl.handle.net/20.500.12712/42827
dc.identifier.volume9en_US
dc.identifier.wosWOS:001064493700001
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherCell Pressen_US
dc.relation.ispartofHeliyonen_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.subjectSingularityen_US
dc.subjectFrenet Frameen_US
dc.titleInvolutive Sweeping Surfaces With Frenet Frame in Euclidean 3-Spaceen_US
dc.typeArticleen_US
dspace.entity.typePublication

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