Simultaneous characterizations of partner ruled surfaces using Flc frame
Yanlin Li, Kemal Eren, Kebire Hilal Ayvacı, Soley Ersoy
Abstract
<abstract><p>In this study, we introduce partner ruled surfaces according to the Flc frame that is defined on a polynomial curve. First, the conditions of each couple of two partner ruled surfaces to be simultaneously developable and minimal are investigated. Then, the asymptotic, geodesic and curvature lines of the parameter curves of the partner ruled surfaces are simultaneously characterized. Finally, the examples of the partner ruled surfaces are given, and their graphs are drawn.</p></abstract>
Topics & Concepts
Ruled surfaceGeodesicMathematicsFrame (networking)CurvatureDevelopable surfaceGeometrySurface (topology)CombinatoricsPure mathematicsMathematical analysisComputer scienceTelecommunicationsGeometric Analysis and Curvature FlowsGeometric and Algebraic Topology