In this study, we define general rectifying ruled surfaces in the Euclidean 3-space E-3. We give some characterizations of rectifying ruled surfaces by considering the curvatures of base curve. We obtain the Gaussian curvature and the mean curvature and we investigate the condition for the surface to be minimal. Moreover, we give characterizations for some special curves lying on this surface. Finally, we obtain the relationships between rectifying ruled surfaces and slant ruled surfaces.
机构:
Univ Bucuresti, Fac Matemat & Informat, Str Acad 14, Bucharest 010014, Romania
Acad Romane, Inst Matemat Simion Stoilow, Calea Grivitei 21,Sect 1, Bucharest 010702, RomaniaUniv Bucuresti, Fac Matemat & Informat, Str Acad 14, Bucharest 010014, Romania
Aprodu, Marian
Costa, Laura
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Fac Matemat & Informat, Dept Matemat & Informat, Gran Via Corts Catalanes 585, Barcelona 08007, SpainUniv Bucuresti, Fac Matemat & Informat, Str Acad 14, Bucharest 010014, Romania
Costa, Laura
Maria Miro-Roig, Rosa
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Fac Matemat & Informat, Dept Matemat & Informat, Gran Via Corts Catalanes 585, Barcelona 08007, SpainUniv Bucuresti, Fac Matemat & Informat, Str Acad 14, Bucharest 010014, Romania