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Translation surfaces in the Galilean space (CROSBI ID 179258)
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Milin-Šipuš, Željka ; Divjak, Blaženka
Translation surfaces in the Galilean space // Glasnik matematički, 46 (2011), 2; 445-469. doi: 10.3336/gm.46.2.14
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Milin-Šipuš, Željka ; Divjak, Blaženka
engleski
Translation surfaces in the Galilean space
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.
Galilean space; translation surface; Weingarten surface
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