Glasnik matematički, Vol. 46 No. 2, 2011.
Original scientific paper
https://doi.org/10.3336/gm.46.2.14
Translation surfaces in the Galilean space
Zeljka Milin Sipus
orcid.org/0000-0002-0726-3335
; Department of Mathematics, University of Zagreb, Bijenička cesta 30, 10 000 Zagreb, Croatia
Blazenka Divjak
orcid.org/0000-0003-0649-3267
; Faculty of organization and informatics, University of Zagreb, Pavlinska 2, 42 000 Varaždin, Croatia
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.
Keywords
Galilean space; translation surface; Weingarten surface
Hrčak ID:
74272
URI
Publication date:
23.11.2011.
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