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Generalized translation hypersurfaces in Euclidean space

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Abstract The graph of a function f defined in some open set of the Euclidean space of dimension ( p + q ) is said to be a generalized translation… Click to show full abstract

Abstract The graph of a function f defined in some open set of the Euclidean space of dimension ( p + q ) is said to be a generalized translation graph if f may be expressed as the sum of two independent functions ϕ and ψ defined in open sets of the Euclidean spaces of dimension p and q, respectively. In this paper we give a classification of the generalized translation graphs with constant mean curvature or constant Gauss–Kronecker curvature.

Keywords: translation; euclidean space; hypersurfaces euclidean; generalized translation; translation hypersurfaces

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019

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