Izvorni znanstveni članak

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

Sažetak

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

URI

https://hrcak.srce.hr/74272

Datum izdavanja:

23.11.2011.

Posjeta: 1.518 *