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Glasnik matematički, Vol.46 No.2 Studeni 2011.

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Translation surfaces in the Galilean space

Zeljka Milin Sipus   ORCID icon ; Department of Mathematics, University of Zagreb, Bijenička cesta 30, 10 000 Zagreb, Croatia
Blazenka Divjak   ORCID icon ; Faculty of organization and informatics, University of Zagreb, Pavlinska 2, 42 000 Varaždin, Croatia

Puni tekst: engleski, pdf (1 MB) str. 455-469 preuzimanja: 119* citiraj
Milin Sipus, Z., Divjak, B. (2011). Translation surfaces in the Galilean space. Glasnik matematički, 46(2). doi:10.3336/gm.46.2.14

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.

Ključne riječi
Galilean space; translation surface; Weingarten surface

Hrčak ID: 74272


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