Glasnik Matematicki, Vol. 46, No. 2 (2011), 455-469.

TRANSLATION SURFACES IN THE GALILEAN SPACE

Željka Milin Šipuš and Blaženka Divjak

Faculty of organization and informatics, University of Zagreb, Pavlinska 2, 42 000 Varaždin, Croatia
e-mail: blazenka.divjak@foi.hr

Abstract.   In this paper we describe, up to a congruence, translation surfaces in the Galilean space having constant Gaussian and mean curvatures as well as translation Weingarten surfaces. It turns out that, contrary to the Euclidean case, there exist translation surfaces with constant Gaussian curvature K that are not cylindrical surfaces, and translation surfaces with constant mean curvature H ≠ 0 that are not ruled.

2000 Mathematics Subject Classification.   53A35, 53A40.

Key words and phrases.   Galilean space, translation surface, Weingarten surface.

DOI: 10.3336/gm.46.2.14

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