[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2022.62.3.509

On Ruled Surfaces with a Sannia Frame in Euclidean 3-space

Senyurt, Suleyman (Department of Mathematics, Ordu University)
Eren, Kemal (Department of Mathematics, Sakarya University)

Publication Information

Kyungpook Mathematical Journal / v.62, no.3, 2022 , pp. 509-531 More about this Journal

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.

Keywords

Ruled surfaces; Sannia frame; striction curve; mean curvature; Gaussian curvature;

Citations & Related Records

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