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dc.contributor.authorGüler, Erhan
dc.contributor.authorGümüşok Karaalp, Ayçın
dc.date.accessioned2019-07-09T13:17:00Z
dc.date.available2019-07-09T13:17:00Z
dc.date.issued2018
dc.identifier.urihttp://www.matder.org.tr/icmme_2018/
dc.identifier.urihttp://hdl.handle.net/11772/1614
dc.description.abstractIn this talk, we study Ulisse Dini-type helicoidal surface in Euclidean 3-space E³. We give some basic notions of the three dimensional Euclidean geometry in section 2. In section 3, we consider Ulisse Dini helicoidal surface. We obtain Ulisse Dini-type helicoidal surface, and calculate its curvatures in the last section. We calculate the first and second fundamental forms, matrix of the shape operator S, Gaussian curvature K, and the mean curvature H of surface M=M(u,v) in Euclidean 3-space E³. We define the rotational surface and helicoidal surface in E³. For an open interval I⊂ R, let γ:I→Π be a curve in a plane Π in E³, and let ℓ be a straight line in Π. A rotational surface in E³ is defined as a surface rotating a curve γ around a line ℓ (these are called the profile curve and the axis, respectively). Suppose that when a profile curve γ rotates around the axis ℓ, it simultaneously displaces parallel lines orthogonal to the axis ℓ, so that the speed of displacement is proportional to the speed of rotation. Then the resulting surface is called the helicoidal surface with axis ℓ and pitch a∈R\{0}. We may suppose that ℓ is the line spanned by the vector (0,0,1)t.en_US
dc.language.isoengen_US
dc.publisherOrdu Üniversitesien_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDini-type helicoidal surfaceen_US
dc.subjectGauss mapen_US
dc.subjectGaussian curvatureen_US
dc.subjectMean curvatureen_US
dc.titleUlisse dini-type helicoidal surface in 3-spaceen_US
dc.typeconferenceObjecten_US
dc.relation.journalInternational Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu Universityen_US
dc.contributor.departmentBartın Üniversitesi, Fen Fakültesi, Matematik Bölümüen_US
dc.contributor.authorID28161en_US


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