Weighted minimal translation surfaces in the Galilean space with density
نویسندگان
چکیده
منابع مشابه
Minimal translation surfaces in hyperbolic space
In the half-space model of hyperbolic space, that is, R+ = {(x, y, z) ∈ R ; z > 0} with the hyperbolic metric, a translation surface is a surface that writes as z = f(x) + g(y) or y = f(x) + g(z), where f and g are smooth functions. We prove that the only minimal translation surfaces (zero mean curvature in all points) are totally geodesic planes. MSC: 53A10
متن کاملClassification of Factorable Surfaces in the Pseudo-galilean Space
In this paper, we introduce the factorable surfaces in the pseudo-Galilean space G3 and completely classify such surfaces with null Gaussian and mean curvature. Also, in a special case, we investigate the factorable surfaces which fulfill the condition that the ratio of the Gaussian curvature and the mean curvature is constant in G3.
متن کاملSurfaces of Constant Curvature in the Pseudo-Galilean Space
We develop the local theory of surfaces immersed in the pseudo-Galilean space, a special type of Cayley-Klein spaces. We define principal, Gaussian, and mean curvatures. By this, the general setting for study of surfaces of constant curvature in the pseudo-Galilean space is provided. We describe surfaces of revolution of constant curvature. We introduce special local coordinates for surfaces of...
متن کاملOn a Certain Class of Translation Surfaces in a Pseudo-Galilean Space
In this paper we describe a special class of translation surfaces in a pseudo-Galilean space. We analyze translation surfaces having constant Gaussian and mean curvatures, as well as translation Weingarten surfaces. Mathematics Subject Classification: 53A35, 53A40
متن کاملTranslation Surfaces of the Third Fundamental Form in Lorentz-Minkowski Space
In this paper we study translation surfaces with the non-degenerate third fundamental form in Lorentz- Minkowski space $mathbb{L}^{3}$. As a result, we classify translation surfaces satisfying an equation in terms of the position vector field and the Laplace operator with respect to the third fundamental form $III$ on the surface.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Open Mathematics
سال: 2017
ISSN: 2391-5455
DOI: 10.1515/math-2017-0043