Glasnik Matematicki, Vol. 46, No. 2 (2011), 455-469.
TRANSLATION SURFACES IN THE GALILEAN SPACE
Željka Milin Šipuš and Blaženka Divjak
Department of Mathematics,
University of Zagreb,
Bijenička cesta 30, 10 000 Zagreb,
Croatia
e-mail: zeljka.milin-sipus@math.hr
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.
Full text (PDF) (free access)
DOI: 10.3336/gm.46.2.14
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