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Ruled Weingarten Surfaces Related to Dual Spherical Curves

2013/07/10 by İlkay Arslan Güven, Güven, İlkay Arslan, Semra Kaya Nurkan +3
Mathematics · #53A05 #53A10 #53A17 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1307.2716

openalex publication_date 2013/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study ruled surfaces in R3 which are obtained from dual spher- ical indicatrix curves of dual Frenet vector fields. We find the Gaussian and mean curvatures of the ruled surfaces and give some results of being Wein- garten surface.

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