Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Surfaces of Revolution of Type 1 in Galilean 3-Space

  • Cakmak, Ali (Department of Mathematics, Faculty of Sciences and Arts, Bitlis Eren University) ;
  • Es, Hasan (Department of Mathematics Education, Faculty of Education, Gazi University) ;
  • Karacan, Murat Kemal (Department of Mathematics, Faculty of Sciences and Arts, Usak University) ;
  • Kiziltug, Sezai (Department of Mathematics Education, Faculty of Sciences and Arts, Erzincan University)
  • Received : 2019.02.22
  • Accepted : 2020.03.30
  • Published : 2020.09.30
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Abstract

In this study, we classify surfaces of revolution of Type 1 in the three dimensional Galilean space 𝔾3 in terms of the position vector field, Gauss map, and Laplacian operator of the first and the second fundamental forms on the surface. Furthermore, we give a classification of surfaces of revolution of Type 1 generated by a non-isotropic curve satisfying the pointwise 1-type Gauss map equation.

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References

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