Glasnik Matematicki, Vol. 50, No. 2 (2015), 441-451.

CLASSIFICATION OF FACTORABLE SURFACES IN THE PSEUDO-GALILEAN SPACE

Muhittin Evren Aydin, Alper Osman Öğrenmiş and Mahmut Ergüt

Department of Mathematics, Firat University, 23 200 Elazig, Turkey
e-mail: meaydin@firat.edu.tr

Department of Mathematics, Firat University, 23 200 Elazig, Turkey
e-mail: aogrenmis@firat.edu.tr

Department of Mathematics, Namik Kemal University, 59 000 Tekirdag, Turkey
e-mail: mergut@nku.edu.tr

Abstract.   In this paper, we introduce the factorable surfaces in the pseudo-Galilean space G31 and completely classify such surfaces with null Gaussian and mean curvature. Also, in a special case, we investigate the factorable surfaces which fulfill the condition that the ratio of the Gaussian curvature and the mean curvature is constant in G31.

2010 Mathematics Subject Classification.   53A35, 53B30.

Key words and phrases.   Factorable surface, Gaussian curvature, mean curvature, minimal surface, pseudo-Euclidean plane, pseudo-Galilean space.

Full text (PDF) (free access)

DOI: 10.3336/gm.50.2.12

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