Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On Ruled Surfaces with a Sannia Frame in Euclidean 3-space

  • Received : 2021.11.25
  • Accepted : 2022.02.22
  • Published : 2022.09.30
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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.

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Acknowledgement

We would like to thank the anonymous reviewers for their suggestions which helped us to improve the quality of manuscript. We would also like to acknowledge the invaluable contributions provided by the editorial team of KMJ.

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