Similar Ruled Surfaces with Variable Transformations in the Euclidean 3-space

2012/03/28 by Mehmet Önder, Önder, Mehmet · 1 citation
Mathematics · #14J26 #53A25 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:14J26 #msc:53A25

paper · pdf · doi:10.48550/arxiv.1203.6234

9 pages, Konuralp Journal of Mathematics, 2014

arxiv created 2014/06/25 · arxiv updated 2014/06/26

Abstract

In this study, we define a family of ruled surfaces in the Euclidean 3-space E³ and called similar ruled surfaces. We obtain some properties of these special surfaces and we show that developable ruled surfaces form a family of similar ruled surfaces if and only if the striction curves of the surfaces are similar curves with variable transformation.

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