ON THE PARALLEL SURFACES IN GALILEAN SPACE

Authors : Mustafa DEDE, Cumali EKİCİ, A Ceylan ÇÖKEN

Pages : 605-615

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Publication Date : 2013-06-01

Article Type : Other Papers

Abstract :In this paper, first of all, the definition of parallel surfaces in Galileanspace is given. Then, the relationship between the curvatures of theparallel surfaces in Galilean space is determined. Moreover, the firstand second fundamental forms of parallel surfaces are found in Galileanspace. Consequently, we obtained Gauss curvature and mean curvatureof parallel surface in terms of those curvatures of the base surface.
Keywords : Parallel surfaces, Surface curvature, Galilean space