Translation hypersurfaces with constant curvature in 4-dimensional isotropic space

  • Muhittin Evren Aydin Firat University
  • Alper Osman Ogrenmis
Keywords: Translation hypersurface, isotropic space, absolute …gure, Gauss- Kronecker curvature, mean curvature.


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.