Abstract
In this paper we present a classification of Laguerre minimal surfaces with planar curvature lines. We define Spherical type hypersurfaces, show that these hypersurfaces are determined by a harmonic function, we also introduce the class of Generalized Spherical type hypersurfaces (GS-Hypersurfaces) and show that these hypersurfaces are determined by a biharmonic function. As an application, we classify rotation GS-Hypersurfaces and present examples of families of GS-Hypersurfaces parameterized by planar curvature lines.
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