The relatively osculating developable surfaces of a surface along a direction curve

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dc.contributor.authorÜnlütürk, Yasin
dc.contributor.authorAbdel-Baky, Rashad
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-11-11T08:57:02Z
dc.date.available2021-11-11T08:57:02Z
dc.date.issued2020-06-30
dc.description.abstractWe construct a developable surface tangent to a surface along a curve on the surface. We call this surface as relatively osculating developable surface. We choose the curve as the tangent normal direction curve on which the new surface is formed in the Euclidean 3-space. We obtain some results about the existence and uniqueness, and the singularities of such developable surfaces. We also give two invariants of curves on a surface which characterize these singularities. We present two results for special curves such as asymptotic line and line of curvature which are rulings of the relatively osculating surface.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage527tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue1tr_TR
dc.identifier.startpage511tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.527231tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/76008
dc.identifier.volume69tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.527231tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectRelatively osculating developable surfacestr_TR
dc.subjectCurves on surfacestr_TR
dc.subjectRuled surfacestr_TR
dc.titleThe relatively osculating developable surfaces of a surface along a direction curvetr_TR
dc.typeArticletr_TR

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