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Translation Surfaces of Constant Curvatures in a Simply Isotropic Space (CROSBI ID 202812)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Milin Šipuš, Željka Translation Surfaces of Constant Curvatures in a Simply Isotropic Space // Periodica mathematica Hungarica, 68 (2014), 160-175

Podaci o odgovornosti

Milin Šipuš, Željka

engleski

Translation Surfaces of Constant Curvatures in a Simply Isotropic Space

In this paper we describe, up to a congruence, translation surfaces in a simply isotropic space having constant isotropic Gaussian or mean curvature. It turns out that, contrary to the Euclidean case, there exist translation surfaces with constant, non-vanishing Gaussian curvature K and translation surfaces with constant, non-vanishing mean curvature H that are not cylindrical. Furthermore, we investigate a class of Weingarten translation surfaces.

simply isotropic space; translation surface; Weingarten surface

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Podaci o izdanju

68

2014.

160-175

objavljeno

0031-5303

Povezanost rada

Matematika

Indeksiranost