Translation hypersurfaces with constant curvature in 4-dimensional isotropic space
Keywords:
Translation hypersurface, isotropic space, absolute
gure, Gauss- Kronecker curvature, mean curvature.
Abstract
In the present study, we concern translation hypersurfaces in the 4-dimensional isotropic space I4 generated by translating planar curves. Due to absolute figure of I4 there are four different types of such hypersurfaces. We classify these translation hypersufaces in I4 with constant Gauss-Kronecker and mean curvature.
Published
2019-03-22
Section
Articles