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