1. Ordu Üniversitesi Açık Arşiv Sistemi
  2. FAKÜLTELER
  3. Fen Edebiyat Fakültesi
  4. Matematik
Please use this identifier to cite or link to this item: http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4365
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dc.contributor.authorSenyurt, Suleyman-
dc.contributor.authorAyvaci, Kebire Hilal-
dc.contributor.authorCanli, Davut-
dc.date.accessioned2024-03-15T08:48:55Z-
dc.date.available2024-03-15T08:48:55Z-
dc.date.issued2022-
dc.identifier.citationSenyurt, S., Ayvaci, KH., Canli, D. (2022). Family of Surfaces with a Common Special Involute and Evolute Curves. Int. Electron. J. Geom., 15(1), 160-174. https://doi.org/10.36890/IEJG.932757en_US
dc.identifier.issn1307-5624-
dc.identifier.urihttp://dx.doi.org/10.36890/IEJG.932757-
dc.identifier.urihttps://www.webofscience.com/wos/woscc/full-record/WOS:000795585200017-
dc.identifier.urihttp://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4365-
dc.descriptionWoS Categories: Mathematicsen_US
dc.descriptionWeb of Science Index: Emerging Sources Citation Index (ESCI)en_US
dc.descriptionResearch Areas: Mathematicsen_US
dc.description.abstractIn this paper we define the necessary and sufficient conditions for both the involute and evolute of a given curve to be geodesic, asymptotic and curvature line on a parametric surface. Then, the first and second fundamental forms of these surfaces are calculated. By using the Gaussian and mean curvatures, the developability and minimality assumptions are drawn, as well. Moreover we extended the idea to the ruled surfaces. Finally, we provide a set of examples to illustrate the corresponding surfaces.en_US
dc.language.isoengen_US
dc.publisherINT ELECTRONIC JOURNAL GEOMETRY-ANKARAen_US
dc.relation.isversionof10.36890/IEJG.932757en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectGeodesic curve, involue-evolute curves, asymptoticity, curvature line, ruled surfacesen_US
dc.subjectPARAMETRIC REPRESENTATION, PENCILen_US
dc.titleFamily of Surfaces with a Common Special Involute and Evolute Curvesen_US
dc.typearticleen_US
dc.relation.journalINTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRYen_US
dc.contributor.departmentOrdu Üniversitesien_US
dc.contributor.authorID0000-0002-5114-5475en_US
dc.contributor.authorID0000-0003-0405-9969en_US
dc.contributor.authorID0000-0003-1097-5541en_US
dc.identifier.volume15en_US
dc.identifier.issue1en_US
dc.identifier.startpage160en_US
dc.identifier.endpage174en_US
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