Article
Kyungpook Mathematical Journal 2020; 60(3): 585-597
Published online September 30, 2020 https://doi.org/10.5666/KMJ.2020.60.3.585
Copyright © Kyungpook Mathematical Journal.
Surfaces of Revolution of Type 1 in Galilean 3-Space
Ali Çakmak*, Hasan Es, Murat Kemal Karacan, Sezai KızıltuĞ
Department of Mathematics, Faculty of Sciences and Arts, Bitlis Eren University 13000, Bitlis, Turkey
e-mail : acakmak@beu.edu.tr or alicakmak@yahoo.com
Department of Mathematics Education, Faculty of Education, Gazi University 06500, Ankara, Turkey
e-mail : hasanes@gazi.edu.tr
Department of Mathematics, Faculty of Sciences and Arts, Usak University, 1 Eylul Campus 64200, Usak, Turkey
e-mail : murat.karacan@usak.edu.tr
Department of Mathematics Education, Faculty of Sciences and Arts, Erzincan University 24000, Erzincan, Turkey
e-mail : skiziltug@erzincan.edu.tr
Received: February 22, 2019; Revised: March 23, 2020; Accepted: March 30, 2020
In this study, we classify surfaces of revolution of Type 1 in the three dimensional Galilean space 
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.
Keywords: Laplace operator, Gauss map, Galilean space, surfaces of revolution, pointwise 1-type