학술논문
On Ruled Surfaces with a Sannia Frame in Euclidean 3-space.
Document Type
Article
Author
Source
Subject
*SURFACE analysis
*GAUSSIAN curvature
*MINIMAL surfaces
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Language
ISSN
1225-6951
Abstract
In this paper we define a new family of ruled surfaces using an othonormal Sannia frame defined on a base consisting of the striction curve of the tangent, the principal normal, the binormal and the Darboux ruled surface. We examine characterizations of these surfaces by first and second fundamental forms, and mean and Gaussian curvatures. Based on these characterizations, we provide conditions under which these ruled surfaces are developable and minimal. Finally, we present some examples and pictures of each of the corresponding ruled surfaces. [ABSTRACT FROM AUTHOR]