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Characterizations of Slant Ruled Surfaces in the Euclidean 3-space

2013/11/27 by Mehmet Önder, Önder, Mehmet, ‪Onur Kaya +1
Computer Science · Engineering · #14J26 #53A25 #Advanced Numerical Analysis Techniques #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Computational Geometry and Mesh Generation #Differential Geometry (math.DG) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1311.6928

openalex publication_date 2013/11/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/02

Abstract

In this study, we give the relationships between the conical curvatures of ruled surfaces drawn by the unit vectors of the ruling, central normal and central tangent of a regular ruled surface in the Euclidean -space. We obtain the differential equations characterizing slant ruled surfaces and if the reference ruled surface is a slant ruled surface, we give some conditions for the surfaces drawn by the central normal and the central tangent vectors to be slant ruled surfaces.

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