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.
Downloads
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. Retrieved from https://journalmim.com/index.php/journalMIM/article/view/42
Issue
Section
Articles
License
The copyright to the article is transferred to body International Journal of Maps in Mathematics effective if and when the article is accepted for publication.
- The copyright transfer covers the exclusive right to reproduce and distribute the article, including reprints, translations, photographic reproductions, microform, electronic form (offline, online) or any other reproductions of similar nature.
- An author may make his/her article published by body International Journal of Maps in Mathematics available on his/her home page provided the source of the published article is cited and body International Journal of Maps in Mathematics is mentioned as copyright owner.
- The author warrants that this contribution is original and that he/she has full power to make this grant. The author signs for and accepts responsibility for releasing this material on behalf of any and all co-authors. After submission of this agreement signed by the corresponding author, changes of authorship or in the order of the authors listed will not be accepted by body International Journal of Maps in Mathematics.
