Translation hypersurfaces with constant curvature in 4-dimensional isotropic space

Authors

  • Muhittin Evren Aydin Firat University
  • Alper Osman Ogrenmis

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.

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Published

2019-03-22

How to Cite

Aydin, M. E., & Ogrenmis, A. O. (2019). Translation hypersurfaces with constant curvature in 4-dimensional isotropic space. International Journal of Maps in Mathematics, 2(1), 108-130. https://simadp.com/journalmim/article/view/42

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