Twisted Surfaces Family in Euclidean 3-Space


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Authors

  • Erhan Güler Bartın University
  • Mustafa Yıldız Bartın University

DOI:

https://doi.org/10.59287/icaens.1028

Keywords:

Euclidean 3-Space, Twisted Surfaces Family, Gauss Map, Curvatures, Laplace−Beltrami Operator

Abstract

In this study, we examine a distinct set of twisted surfaces in the three-dimensional Euclidean space E3. Our focus lies in the investigation of the differential geometry of this surface family, including the determination of their curvatures. Furthermore, we establish the essential conditions for minimal surfaces within this framework. Additionally, we calculate the Laplace−Beltrami operator for this particular surface family and provide an illustrative example.

Author Biographies

Erhan Güler, Bartın University

Department of Mathematics, Faculty of Sciences,  Turkey

Mustafa Yıldız, Bartın University

Department of Mathematics, Faculty of Sciences, Turkey

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Published

2023-07-20

How to Cite

Güler, E., & Yıldız, M. (2023). Twisted Surfaces Family in Euclidean 3-Space. International Conference on Applied Engineering and Natural Sciences, 1(1), 395–403. https://doi.org/10.59287/icaens.1028