Surfaces of Revolution of Type 1 in Galilean 3-Space

Surfaces of Revolution of Type 1 in Galilean 3-Space

In this study, we classify surfaces of revolution of Type 1 in the three dimensional Galilean space 3 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...

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Veröffentlicht in:Kyungpook mathematical journal 2020, Vol.60 (3), p.585-597
Hauptverfasser: Cakmak, Ali, Es, Hasan, Karacan, Murat Kemal, Kiziltug, Sezai
Format: Artikel
Sprache:kor
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Zusammenfassung:In this study, we classify surfaces of revolution of Type 1 in the three dimensional Galilean space 3 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.
ISSN:1225-6951
0454-8124